CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A firm in Pune must select a team of 4 from 6 men and 4 women, with exactly 2 men and 2 women. In how many ways can this be done?
The team can be formed in 90 ways. Choose 2 men from 6 in 6C2 = 15 ways and 2 women from 4 in 4C2 = 6 ways, then multiply to get 90. The value 210 is 10C4, which ignores the required composition.
- A60
- B90Correct
- C210
- D15
Explanation
Men: 6C2 = 15. Women: 4C2 = 6. Multiply: 15×6 = 90. Option 210 is 10C4, which ignores the 2-and-2 condition.
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