CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A Chennai firm must assign 4 different tasks to 4 different employees, one task per employee. In how many different ways can the assignment be made?
The number of ways is 24, because assigning 4 different tasks to 4 different employees, one each, is a permutation of 4 distinct objects, giving 4 factorial, which is 4×3×2×1 = 24 arrangements.
- A16
- B24Correct
- C12
- D64
Explanation
Each task goes to a different employee, so the number of ways is 4! = 4×3×2×1 = 24. The option 16 comes from 4×4, which wrongly allows an employee to be reused. The option 12 uses 4×3 and stops too early.
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