In how many ways can a committee of size 3 be formed from 5 people? Assume that, when people are chosen for a committee, the order of the choices does not matter.

Question

Saige Gilbert

Mathematics

11 July, 00:46

In how many ways can a committee of size 3 be formed from 5 people? Assume that, when people are chosen for a committee, the order of the choices does not matter.

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Romeo Weaver · Answer 1

In statistics, when arrangement is done and the order does not matter, this is a permutation problem. This could be easily solved just by using your scientific calculator. The formula would be nPr, where n is the total size of people, and r is the number of person to be chosen.

Thus,

5P3 = 60

There are 60 ways.