Question

A committee of 5persons is to be formed from 6 men and 4 women. In how many ways can this bedone when at least 2 women are included?

Answer 1

Answer: 186

Step-by-step explanation:

When at least 2 women are included.

 

The committee may consist of 3 women, 2 men : It can be done in  4C3×6C2  ways

 

or, 4 women, 1 man : It can be done in  4C4×6C1ways

 

or, 2 women, 3 men : It can be done in 4C2×6C3 ways.

 

Total number of ways of forming the committees

 

= 4C2×6C3 + 4C3×6C2 + 4C4×6C1

 

= 6 x 20 + 4 x 15 + 1 x 6

 

= 120 + 60 + 6 =186

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