Arithmetic Ability
Permutations and Combinations

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Q.

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

View Answer

Correct choice: B

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 + 1x 6 = 120 + 60 + 6 =186
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