# Probability and Permutations

### Topic Page

Probability and Permutations### Questions

- What are Permutations?
- How do you calculate permutations using the formula?
- How many permutations can be made from the word assassin?
- How many permutations of the letters abcdefgh contain?
- How do you calculate permutations of a word?
- How do you calculate permutations of numbers?
- Why are permutations important?
- How do you evaluate#x= _6P_3#?
- Why is order important in permutations?
- How many ways can 14 books be organized on a shelf?
- In how many ways can 8 athletes be arranged to start a race if a running track has eight lanes?
- What is the probability that Mary will get on the bus first if Jerry, Kerry, Larry, and Mary are waiting at a bus stop?
- How do you find the permutation or combination of 7P4?
- You need to select a 5-character password for an account. You may use the digits 0-9 or the lower case letters a-z. You may repeat digits or letters. How many possible passwords are there?
- How many different permutations can you make with the letters in the word seventeen?
- How many ways can you seat #5# gentlemen and #3# ladies around a circular table with the requirement that every gentleman is seated next to at least one lady?
- Five people are going to be seated in a row of seven chairs. How many different ways can they be seated?
- A shipment of 10 microwaves contains 3 defective units. In how many ways can a vending company purchase 4 of these units and receive (a) all good units (b) two good units and (c) at least two good units?
- How many different ways are there of arranging the letters in the word BARBARIAN?
- How many different ways are there of arranging the letters in the word ACCOMMODATION if no two Cs may be together?
- How many ways can 3 dictionaries and 5 magazines be arranged on a shelf if there must be a dictionary on each end?
- How many different permutations are there of the letters in the word MISSISSIPPI?
- In how many ways can 6 people be lined up to get on a bus?
- How do you find the number of permutations of all the letters of the word SCISSORS which you have no two letters S,S consecutive?
- In a horse race, how many different finishes among the first three places are possible for a ten-horse race?
- How do you find the value of the permutation P(12,0)?
- How would you use permutations to find the arrangements possible if a line has 4 girls and 4 boys alternating boy girl boy girl?
- How would you use permutations to find the arrangements possible if a line has 2 girls want to stand together?
- How would you use permutations to find the arrangements possible if a line has all the boys stand together?
- How many different ways are there to arrange the 6 letters in the word SUNDAY?
- In how many ways can you arrange six out of eight books on a shelf?
- Jenna has downloaded 11 songs onto her computer. She wants to create a playlist of 5 songs. How many different 5-song playlists can be created from the downloaded songs?
- A committee of 4 people is chosen from 8 women and 8 men. How many different committees are possible that consist of 2 women and 2 men?
- A professor gives his students 7 essay questions to prepare for an exam. Only 5 of the questions will actually appear on the exam. How many different exams are possible?
- A soccer team has 10 victories, 4 losses and 7 ties throughout their season. In how many different orders can you receive these results?
- At every basketball game they announce the 5 starting players. How many DIFFERENT ways could they announce them?
- How do you find the number of distinguishable permutations using the letters in FOOTBALL?
- A lock has a dial with 50 numbers on it. To open it you must have a 3 digit code. How many possibilities are there if the 3 numbers must be different?
- How many three letter arrangements can be formed if a letter is used only once? [TIGER]
- How do you find the number of distinct arrangements of the letters in STREETS?
- How do you find the number of distinct arrangements of the letters in INSISTS?
- How do you find the number of distinct arrangements of the letters in TENNESSEE?
- How do you find the number of distinct arrangements of the letters in BOOKKEEPER?
- How many different permutations can you make with the letters in the word seventeen?
- Three cards are drawn from a standard deck of 52 cards. What is the possibility that a jack, a queen, and a king are selected, drawn in succession without?
- In how many ways can 5 letters be mailed if there are 2 mailboxes available?
- An anagram is a rearrangement of the letters of a word or words to make other words. How many possible words can be made from the letters W,O,R,D,S?
- Janell is having a group of friends over for dinner and is setting the name cards on the table. She has invited 5 of her friends for dinner. How many different seating arrangements are possible for Janell and her friends at the table?
- How many different selections of 4 books can be made from a bookcase displaying 12 books?
- What is the difference between a combination and permutation?
- What is the relationship between 5P3 and 5C3?
- There are two distinct round tables, each with 5 seats. In how many ways may a group of 10 be seated?
- How do you find out how many ways the integers 1,2,3,4,5,6,7,8 can be placed in a circle if: at least three odd numbers are together?
- How many four letter words are possible using the first 5 letters of the alphabet if letters can be repeated?
- How many four letter words are possible using the first 5 letters of the alphabet if letters can not be repeated?
- How many four letter words are possible using the first 5 letters of the alphabet if the first letter can not be a and adjacent letters can not be alike?
- If you have 20 dice (with 6 faces each), how many different numbers can you create putting the dice in one line and interpreting each face as a digit?
- How many ways can 6 cars line up for a race?
- There are 12 paintings in a show. How Many ways can the paintings take first second or third?
- How many ways can you buy 2 DVDs from a display of 15?
- Three couples have reserved seats for a Broadway musical. How many different ways they can sit if two members of each couple wish to sit together?
- How do you find the value of the permutation P(4,2)?
- How do you find the value of the permutation P(12,0)?
- How many ways can you make a sandwich by choosing 4 out of 10 ingredients?
- How many ways can 30 students be arranged in a 4- student line?
- Students are chosen in groups of 6 to tour a local business. How many ways can 6 students be selected from 3 classes totaling 53 students?
- In a raffle 5 winners get to chose from 5 prizes starting with the fist name drawn. iIf 87 people entered the raffle how many ways can the winners be arranged?
- The letters of the word CONSTANTINOPLE are written on 14 cards, one of each card. The cards are shuffled and then arranged in a straight line. How many arrangements are there where no two vowels are next to each other?
- On the situation where taking the numbers 123456 how many numbers can u form using 3 digits with no numbers repeated is that a permutation or combination?
- How many color combinations can you get by drawing 10 beans from the bag?
- In a horse race, how many different finishes among the first three places are possible for a ten-horse race?
- How many different ways are there of arranging the letters in the word ACCOMMODATION if no two Cs may be together?
- Question #da498
- You and five friends are posing for a photograph.In how many ways can you pose in a line for a photograph?
- The 25 students in your class will present.your teacher randomly selects a student to give the first presentation. Find the probability that you are NOT selected first?
- Question #d54b4
- Question #87f7d
- How to evaluate 8P7?
- At a party 66 handshakes occurred. Each person shook hands exactly once with each of the other people present. How many people were present?
- What is 7P2?
- How do you evaluate 9P3?
- Elijah forgot his pass code for a certain website. He knows it is made up of 5 digits and no digit can be repeated. If he randomly chooses 5 different digits, what is the probability that he chooses his pass code?
- A necklace is to be made from 3 red, 2 black and 2 white beads. How many possible configurations are there?
- What is 6P3?
- How do you simplify 7P5?
- How do you simplify 5P2?
- How do you evaluate 9 P 7?
- How do you evaluate 3P1?
- How many ways can you select a president, vice president, secretary and treasurer from a group of 10 people?
- How many ways can the letters P Q C N Z be arranged to make a password?
- What is the value of 5P4?
- How many distinct permutations can be made from the letters of the word "infinity"?
- What is the formula to find the number of permutations to 4 sets of 6 numbers?
- How do you evaluate the following expression #""^(10)P_(6)#?
- If 2 people out of 7 refuse to sit next to each other in a row of 7 seats, how many ways are possible?
- A crossword has #20# clues, of which #12# have unique answers. How many solutions does the crossword have?
- How many ways can Ismail arrange four different textbooks on the shelf in his locker?
- Kevin has 5 cubes. Each cube is a different color. Kevin will arrange the cubes side by side in a row. What is the total number of different arrangements of the 5 cubes that Kevin can make?
- How many ways can you arrange the letters in the word factor?
- How many 5-digit numbers can be formed using (0-9)?
- A card is drawn from a standard deck of 52 playing cards. How do you find the probability that the card is a jack or a spade. Express the probability as a simplified fraction?
- How many different arrangements can be made using all of the letters in the word REARRANGE?
- Tate has bag of golf balls 3 red, 5 blue, 2 yellow, and 2 green. What is the probability that he pulls out a red one, replaces it, and then pulls out another red one?
- How do you use the Counting Principle to find the probability of rolling a 5 on each of 2 number cubes?
- Coach Ringdahl has 10 players on his varsity basketball team. How many different starting line-ups (5 players) can he choose?
- The owner of a stereo store wants to advertise that he has many different sound systems in stock. The store carries 7 different CD players, 8 different receivers and 10 different speakers. How many different sound systems can the owner advertise?
- There are 9 different colors of paint to choose from. Out of the 9 colors, how many ways can 4 different colors be chosen?
- Jeff is having a dinner party. He has a large rectangular table that seats 10 people on each long side and 4 people on the two ends. How many people can sit at Jeff's table?
- How many exams consisting of three questions could a professor build from a bank of nine questions?
- Question #0c346
- How do you evaluate #9P4#?
- In how many ways can 6 people be arranged in a line?
- In how many ways can 7 people be seated in a row o chairs if Jane and Joe must sit next to each other?
- In how many ways can we list out a string of seven numbers (using only the numbers 1, 2, and 3) such that they sum to 10?
- How do you evaluate 8P5?
- A cube has six sides that are numbered 1 to 6. The sides numbered 1. 3, and 5 are yellow, and the sides numbered 2.4. and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?
- Which of the following statements about the power set of a set are true?
- How do you determine the number of ways a computer can randomly generate an prime integer from 1 through 12?
- How do you determine the number of ways a computer can randomly generate an integer that is divisible by 4 from 1 through 12?
- How do you determine the number of ways a computer can randomly generate an integer that is divisible by 3 from 1 through 12?
- How do you determine the number of ways a computer can randomly generate two distinct integers whose sum is 8 from 1 through 12?
- A customer can choose one of three amplifies, one of two compact disc players and one of five speaker models for an entertainment system. How do you determine the number of possible system configurations?
- A customer in a computer store can choose one of four monitors, one of three keyboards, and one of five computers. How do you determine the number of possible system configurations?
- A college student is preparing a course schedule for the next semester. The student may select one of two math courses, one of three science courses, and one of five courses from the humanities. How many schedules are possible?
- In how many ways can a six question true and false exam be answered?
- In how many ways can a 12- question true and false exam be answered?
- How do you evaluate 4P4?
- How do you evaluate 5P5?
- How do you evaluate 8P3?
- How do you evaluate 20P2?
- How do you evaluate 5P4?
- How do you evaluate 7P4?
- How do you evaluate 20P5 using a calculator?
- How do you evaluate 100P5 using a calculator?
- How do you evaluate 100P3 using a calculator?
- How do you evaluate 10P8 using a calculator?
- How do you evaluate 10P7 using a calculator?
- How do you find the number of distinguishable permutations of the group of letters: A, A, G, E, E, E, M?
- How do you find the number of distinguishable permutations of the group of letters: B, B, B, T, T, T, T, T?
- How do you find the number of distinguishable permutations of the group of letters: A, L, G, E, B, R, A?
- How do you find the number of distinguishable permutations of the group of letters: M, I, S, S, I, S, S, I, P, P, I?
- How do you write all permutations of the letters A, B, C, D?
- How do you write all possible selections of two letters that can be formed from the letters A, B, C, D, E, and F?
- How do you write all possible selections of three letters that can be formed from the letters A, B, C, D, E, and F?
- In how many ways can five children line up in a row?
- In how many ways can six people sit in a six passenger car?
- From a pool of 12 candidates, the offices of president, vice president, secretary, and treasurer will be filled. In how many different ways can the offices be filled?
- In order to conduct an experiment, five students are randomly selected from a class of 20. How many different groups of five students are possible?
- You can answer any 10 questions from a total of 12 questions on an exam. In how many different ways can you select the questions?
- There are 35 numbers in the Massachusetts Mass Cash game. In how many ways can a player select five of the numbers?
- There are 40 numbers in the Louisiana Lotto game. In how many ways can a player select six of the numbers?
- How many subsets of four elements can be formed from a set of 100 elements?
- How many subsets of five elements can be formed from a set of 80 elements?
- Three points that are not on a line determine three lines. How many lines are determined by seven points, no three of which are on a line?
- How do you determine the sample space for the experiment where a coint and a xis sided die are tossed?
- How do you determine the sample space for the experiment where a six sided die is tossed twice and the sum of the points is recorded?
- How do you determine the sample space for the experiment where two county supervisors are selected from five supervisors, A, B, C, D, E to study a recycling plan?
- For the experiment of tossing a coin three times, how do you find the probability of getting exactly one tail?
- For the experiment of tossing a coin three times, how do you find the probability of getting a head on the first toss?
- For the experiment of tossing a coin three times, how do you find the probability of getting at least one head?
- For the experiment of tossing a coin three times, how do you find the probability of getting at least two heads?
- How do you find the probability of selecting a face card from a standard deck of 52 playing cards?
- How do you find the probability of selecting not a face card from a standard deck of 52 playing cards?
- How do you find the probability of selecting a red face card from a standard deck of 52 playing cards?
- How do you find the probability of selecting a card that is 6 or less from a standard deck of 52 playing cards?
- For the experiment of tossing a six sided die twice, what is the probability that the sum is 4?
- For the experiment of tossing a six sided die twice, what is the probability that the sum is at least 7?
- For the experiment of tossing a six sided die twice, what is the probability that the sum is less than 11?
- For the experiment of tossing a six sided die twice, what is the probability that the sum is 2, 3 or 12?
- For the experiment of tossing a six sided die twice, what is the probability that the sum is odd and no more than 7?
- For the experiment of tossing a six sided die twice, what is the probability that the sum is odd or prime?
- Given the probability p=0.7 that an event will happen, how do you find the probability that the event will not happen?
- Given the probability p=0.36 that an event will happen, how do you find the probability that the event will not happen?
- Given the probability p=1/3 that an event will happen, how do you find the probability that the event will not happen?
- Given the probability p=5/6 that an event will happen, how do you find the probability that the event will not happen?
- Given the probability p=0.84 that an event will not happen, how do you find the probability that the event will happen?
- Given the probability p=13/20 that an event will not happen, how do you find the probability that the event will happen?
- Given the probability p=87/100 that an event will not happen, how do you find the probability that the event will happen?
- In how many different ways can a pair of dice be rolled to obtain a total of 10?
- Slips of paper numbers 1 through 14 are placed in a hat. In how many ways can you draw two numbers with replacement that total 12?
- The same three digit prefix is used for all of the telephone numbers in a small town. How many different telephone numbers are possible by changing only the last four digits?
- There are 10 bicyclists entered in a race. In how many different orders could these 10 bicyclist finish?
- You have eight different suits to choose from to take on a trip. How many combinations of three suits could you take?
- You have 20 different neckties in your wardrobe. How many combinations of three ties could you choose?
- A man has five pairs of socks of which no two pairs are the same color. He randomly selects two socks from the drawer. What is the probability that he gets a matched pair?
- A six sided die is rolled six times. What is the probability that each side appears exactly once?
- You randomly select a card from a 52 card deck. What is the probability that the card is not a club?
- How do you find the probability of obtaining at least one tail when a coin is tossed five times?
- Question #ab2ac
- Your sock drawer is a mess and contains 8 white socks, 6 black socks, and 4 red socks. What is the probability that the first sock you pull out will be black and the second sock you pull out without replacing the first sock, will be black?
- What is a permutation calculation calculating?
- Question #45224
- Permutation of lottery?
- How many 4 person committees are possible from a group of 9 people if ?
- Show that #(n+2)!+(n+1)!+n!##=n!(n+2)^2# ?