You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with A?

1 Answer
Jan 15, 2016

#24/120=1/5=0.2=20%#

Explanation:

Total number of possible 5 letter codes with these letters may be found from the multiplication principles as #5! =120#.

Total possible number of such codes starting with #A# is hence also given by the multiplication principle as#1xx4xx3xx2xx1=24#.

Hence the probability that a randomly chosen code starts with #A# is #24/120=1/5=0.2=20%#.