Question

An English class consists of twenty students, and four are to be chosen to give speeches in a school competition.

In how many different ways can the teacher choose the team, given the following conditions?

(a) The order of the speakers is important.

(b) The order of the speakers is not important.

Answer 1

a)If the order of the speakers is important, we have 20x19x18x17, or 116,280 different options.
b) If order is not important, then we have 20 choose 4, or 4845 different slates. ☺☺☺☺