CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A committee of 3 members is to be chosen from 8 officers of a firm in Pune. In how many ways can the committee be formed?
The committee can be formed in 56 ways. Since the order of members does not matter, the selection is a combination, 8C3 = 336/6 = 56. The figure 336 would arise only if the order of selection mattered, which is not the case here.
- A24
- B56Correct
- C336
- D512
Explanation
Order does not matter, so use 8C3 = (8×7×6)/(3×2×1) = 56. The value 336 is 8P3, which wrongly counts ordered arrangements.
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