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Wednesday, 10 June 2026
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(n-3)!/(n-5)! = ?

(n-3)!/(n-5)! = ?
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  • A (n-3)!
  • B (n - 5)!
  • C (n-3)(n-4)
  • D (n - 3)(n - 4)(n- 5)
Correct Answer: Option C
Explanation:
The expression \(\frac{(n-3)!}{(n-5)!}\) can be simplified as follows:

\[
\frac{(n-3)!}{(n-5)!} = \frac{(n-3) \times (n-4) \times (n-5)!}{(n-5)!} = (n-3) \times (n-4)
\]

So, the correct answer is:

C. \((n-3)(n-4)\).

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