CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
What is the value of (8! + 7!) / 7! ?
The value is 9. Writing 8! as 8 times 7! lets the common factor 7! cancel from numerator and denominator, leaving 8 plus 1, which equals 9. No full factorial needs to be computed, so the calculation is quick and safe.
- A8
- B9Correct
- C10
- D57
Explanation
8! = 8 × 7!, so (8! + 7!) / 7! = 8 + 1 = 9. Option 8 forgets the added 7!, and 57 wrongly treats 8!/7! as 8 and then adds 7! incorrectly.
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