How many exams consisting of three questions could a professor build from a bank of nine questions?

1 Answer
Nov 25, 2016

There are 504 possible exams the professor could build with 9 questions.


The professor has any one of 9 problems to select the first question from.

Once the first question is selected the professor then has 8 problems to select the second question from because 1 has already been selected.

Finally, for the third question the professor has 7 questions to select from because 2 have already been selected.

Therefore the number of possible different exams possible are:

#9*8*7 => 72*7 => 504#