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 44 people be selected from a group of 77 people in 3535 ways.

Explanation:

As the order of people does not matter, it is \C_4^7C74

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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