English

Prove That: N! (N + 2) = N! + (N + 1)!

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Question

Prove that: n! (n + 2) = n! + (n + 1)!

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Solution

RHS = n! + (n + 1)!
        =  n! + (n + 1)(n!)
        = n! ( 1+ n + 1)
        = n! (n+2) = LHS
Hence, proved.

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Factorial N (N!) Permutations and Combinations
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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 6 | Page 4

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