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AP EAMCET · Maths · Permutation Combination

If a committee of 10 members is to be formed from 8 men and 6 women, then the number of different possible committees in which the men are in majority is

  1. A 931
  2. B 175
  3. C 48
  4. D 595
Verified Solution

Answer & Solution

Correct Answer

(D) 595

Step-by-step Solution

Detailed explanation

If men are in majority men can be \(6,7,8\) in number Number of such ways \(={ }^8 C_6 \times{ }^6 C_4+{ }^8 C_7 \times{ }^6 C_3+{ }^8 C_8 \times{ }^6 C_2=595\)