CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A company has 6 cost accountants and 4 finance managers. A team of 4 is to be formed with exactly 2 accountants and 2 managers. How many different teams are possible?
There are 90 possible teams. Choosing 2 accountants from 6 gives 15 ways, choosing 2 managers from 4 gives 6 ways, and the two independent choices multiply to 90. The number 210 would count all teams of 4 from 10 people without the composition condition.
- A90Correct
- B210
- C15
- D60
Explanation
Choose 2 of 6 accountants: 6C2 = 15. Choose 2 of 4 managers: 4C2 = 6. Multiply: 15×6 = 90. The value 210 is 10C4, which ignores the required composition.
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