CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A company in Pune must choose one person for a task, either from 6 accountants or from 5 engineers, and no person belongs to both groups. Separately, the chosen person must select one of 3 time slots. How many ways are there to complete the selection of person and slot?
The answer is 33. The person comes from either accountants or engineers, so 6 + 5 = 11 options by addition. Each pairs with one of 3 slots, so multiply: 11 × 3 = 33.
- A33Correct
- B14
- C18
- D11
Explanation
Person: 6 + 5 = 11 by the addition principle since groups are disjoint. Slot: 3 choices. Total = 11 × 3 = 33. Computing 6×5×3 = 90 wrongly multiplies alternatives.
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