Problema Solution

Suppose there is a group of seven people from which we will make a committee.

In how many ways can we pick a two-person committee?

Answer provided by our tutors

We need to find the number of 2-combinations from a given set S of 7 elements:

C(7, 2) = 7!/(2!(7 - 2)!)

C(7, 2) = (6*7)/2

C(7, 2) = 21

There are 21 ways to pick up the committee.