Question

A committee of five people is formed by selecting members from a list of 10 people.

How many different committees can be formed?

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committees

Answer 1

The number of different committees that can be formed from a list of 10 people is given by the combination formula:

n C r = n! / (r! * (n-r)!)

where n is the total number of people, and r is the number of people to be selected for the committee.

In this case, we have n = 10 and r = 5, so the number of different committees that can be formed is:

10 C 5 = 10! / (5! * (10-5)!) = 252

Therefore, there are 252 different committees that can be formed from a list of 10 people.

Explanation: