How many ways can a committee of 4 people be selected from a group of 7 people?

1 Answer
Shwetank Mauria
Jul 23, 2017

A committee of #4# people be selected from a group of #7# people in #35# ways.

Explanation:

As the order of people does not matter, it is #\C_4^7#

i.e. #(7xx6xx5xx4)/(1xx2xx3xx4)=(7xxcancel6xx5xxcancel4)/(1xxcancel2xxcancel3xxcancel4)=35#

Hence, a committee of #4# people be selected from a group of #7# people in #35# ways.

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