Evaluate $\frac{n!}{(n-r)!}$; when $n=9,

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Permutation

Question:

Evaluate $\frac{n!}{(n-r)!}$; when $n=9, r=5$

Options:

40320

15120

20170

Correct Answer:

15120

Explanation:

$\frac{n!}{(n-r)!}$; when $n=9, r=5$

$\frac{9!}{(9 - 5)!}$

= $\frac{9 × 8 ×7 ×6 ×5 ×4! }{4!}$

= 15120

The correct answer is option (3) : 15120