CA Foundation · Quantitative Aptitude · Permutations and Combinations
From 6 Indian batsmen and 5 bowlers, a selection of 6 players is to be made so that exactly 3 are batsmen. How many selections are possible if one particular bowler, Bumrah, must be excluded?
The answer is 80 under the stated data, but this question's key is inconsistent.
- A200Correct
- B150
- C120
- D100
Explanation
Excluding Bumrah leaves 4 bowlers. Choose 3 batsmen from 6: 6C3 = 20. Choose 3 bowlers from 4: 4C3 = 4. Hmm, that gives 80, so check: the selection is 3 batsmen and 3 bowlers, so total = 20 x 4 = 80.
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