In how many ways can a committee of 4 students be formed from a pool of 7 students?

In how many ways can a committee of 4 students be formed from a pool of 7 students?


Asked by 3 years ago
215 points

In how many ways can a committee of 4 students be formed from a pool of 7 students?

A committee of 4 can be formed __ ways

In how
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1 Answer

S
Answered by 3 years ago
9.9k points

In a committee the order doesn't matter, in other words if we choose members of a committee ABC, this is the same as a committee of members BCA. A committee of 4 chosen from 7 students is then,

$C(7,4) = \frac{7!}{(7-4)!4!} = \frac{7!}{3!4!} = 35$

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Views: 144
Asked: 3 years ago

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