Florida State stat club is sending a delegate of 2 members t

Florida State stat club is sending a delegate of 2 members to attend the 2015 Joint Statistical Meeting in Seattle. There are 10 qualified candidates. How many different ways can the delegates be selected?

Solution

Delegates of 2 members can be selected out of 10 in 10C2 ways.

So no. of ways = 10C2 = 10!/(2! 8!) = (10x9)/(2x1) = 5x 9 = 45.