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1. From 7 boys and 5 girls, 6 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 3 girls?
- A. 350
- B. 350
- C. 350
- D. 350
Answer: Option A
Explanation:
Ways of 3 girls to be selected from 5 girls = 5C3
Ways of (6 - 3 = 3) boys to be selected from 7 boys = 7C3
Total ways of selection = 5C3×7C3 = {(5×4×3)/(1×2×3})×{(7×6×5)/(1×2×3)} = 10×35 = 350
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