CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A committee of 3 members is to be chosen from 8 employees of Sharma Traders. In how many ways can the committee be chosen?
The committee can be chosen in 56 ways, because selection of 3 from 8 without regard to order is 8C3 = 56. The figure 336 is the permutation 8P3, which wrongly treats different orders of the same members as different committees.
- A24
- B56Correct
- C336
- D40320
Explanation
Order does not matter, so use 8C3 = (8×7×6)/(3×2×1) = 56. The value 336 is 8P3, which wrongly counts the order of selection.
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