A committee of 12 members is to be formed from 9 women and 8 men. The number of ways of forming the committee with women in majority is

Question

MARKS Content Team · Accepted Answer

Correct answer: (B) 2702. The number of ways of forming the committee with women in majority = C 9 _7 × C 8 _5 + C 9 _8 × C 8 _4 + C 9 _9 × C 8 _3 =(9×8)/2×(8×7×6)/(3×2)+(9×8×7×6×5)/(4×3×2)+1×(8×7×6)/(3×2) =2016+630+56=2702

A committee of $12$ members is to be formed from $9$ women and $8$ men. The number of ways of forming the committee with women in majority is

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