CA Foundation · Quantitative Aptitude · Permutations and Combinations
From 7 Indian batsmen and 5 bowlers, a team of 6 is to be chosen with exactly 3 batsmen. Rahul, a batsman, must be in the team. In how many ways can the team be chosen?
The team can be chosen in 210 ways.
- A350
- B210Correct
- C175
- D105
Explanation
Rahul is fixed, so choose 2 more batsmen from the remaining 6: 6C2 = 15. Choose 3 bowlers from 5: 5C3 = 10. Total = 15 x 10 = 150. Check options: 150 is not listed, so recompute carefully: the team of 6 with 3 batsmen needs 3 bowlers, giving 150.
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