Need to Simplify: nbsp; nbsp;(n+1)!n! nbsp; (n+1)!n!=(n+1)× n!n! ⇒(n+1)!n!=(n+1) Therefore, option (b.) is the correct choice. ...

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Standard VIII

Mathematics

Operations on Factorials

n+1!n! simpli...

Question

$\frac{(n + 1)!}{n!}$ simplifies to

n

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(n + 1)

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(n - 1)

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\frac{(n + 1)}{n}

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Solution

The correct option is B $(n + 1)$
$Need to Simplify : - -------------------- -$ $\frac{(n + 1)!}{n!}$

$\frac{(n + 1)!}{n!} = \frac{(n + 1) \times n!}{n!}$

$\Rightarrow \frac{(n + 1)!}{n!} = (n + 1)$

Therefore, option (b.) is the correct choice.

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(n+1)!n! simplifies to

The correct option is B (n+1)Need to Simplify:–––––––––––––––––––––– (n+1)!n! (n+1)!n!=(n+1)×n!n! ⇒(n+1)!n!=(n+1) Therefore, option (b.) is the correct choice.

$\frac{(n + 1)!}{n!}$ simplifies to

The correct option is B $(n + 1)$
$Need to Simplify : - -------------------- -$ $\frac{(n + 1)!}{n!}$

$\frac{(n + 1)!}{n!} = \frac{(n + 1) \times n!}{n!}$

$\Rightarrow \frac{(n + 1)!}{n!} = (n + 1)$

Therefore, option (b.) is the correct choice.