Q56 / 160 · AP EAMCET 2024 (21 May Shift 1) · Mathematics
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
- A931
- B175
- C48
- Correct answerD595
Solution
If men are in majority men can be $6,7,8$ in number
Number of such ways $={ }^8 C_6 \times{ }^6 C_4+{ }^8 C_7 \times{ }^6 C_3+{ }^8 C_8 \times{ }^6 C_2=595$
Number of such ways $={ }^8 C_6 \times{ }^6 C_4+{ }^8 C_7 \times{ }^6 C_3+{ }^8 C_8 \times{ }^6 C_2=595$
Hence, the correct answer is option: 'D'.