Question

How many different ways are there to select a group of 7 out of 9 people for a committee in which there

are 7 distinct roles?

Answer 1

P(9,7) = 181440

Explanation:

The roles are distinct so order matters. So we must use the permutation formula.

P(n,r)=n!/(n−r)!

P(9,7) = 9! / 2! = 9*8*7*6*5*4*3 = 181440