Permutation & Combination · Question 23 · Medium
A committee of 5 is to be formed from 7 men and 5 women so that it has at least 3 men. In how many ways can this be done?
- 792
- 350
- 546
- 525
Answer and explanation
Answer: C. 546
Explanation: 3 men + 2 women: 35 × 10 = 350; 4 men + 1 woman: 35 × 5 = 175; 5 men: 21. Total = 350 + 175 + 21 = 546.
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