Question

How many ways can a club select a president, vice president, and a secretary from a group of 9 people?

Answer 1

As the order of the people does matter, we need to find the number of permutations without repetition:

$P(n, r) =\cfrac{n! } {(n-r)! } ;\\ P(9,3)=\cfrac{9!}{6!}=9\cdot8\cdot7=504.$