English

Compute: 11 ! − 10 ! 9 !

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Question

Compute:

\[\frac{11! - 10!}{9!}\]
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Solution

\[\frac{11! - 10!}{9!} = \frac{11 \times 10 \times 9! - 10 \times 9!}{9!} \left[ \because n! = n(n - 1)! \right]\]
\[ = \frac{9!(110 - 10)}{9!}\]
\[ = 100\]

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Chapter 16: Permutations - Exercise 16.1 [Page 4]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.1 | Q 1.2 | Page 4

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