CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
Find the value of 10!/(6! × 4!).
The value is 210. Cancel 6! from 10! to get 10×9×8×7, which is 5040. Dividing by 4! equal to 24 gives 210. This is the same as the combination 10C4, so the result can be cross-checked.
- A105
- B210Correct
- C420
- D5040
Explanation
10!/6! = 10×9×8×7 = 5040. Dividing by 4! = 24 gives 5040/24 = 210. Option 5040 forgets to divide by 4!, and 105 is half of the correct value.
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