How do you simplify the factorial expression $\frac{(n + 1)!}{n!}$ $((n+1)!)/(n!)$ ?

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Answer 1 · 2017-02-18T08:51:25

$n + 1$ $n+1$

$(n+1)! = (n+1) * n * (n-1 )* (n-2)* ... 2*1$

$n! = n * (n-1 )* (n-2)* ... 2*1$

$:. ((n=1)!)/(n!) = ((n+1) * cancel( n * (n-1 )* (n-2)* ... 2*1))/cancel( n * (n-1 )* (n-2)* ... 2*1)$

$=n+1$

How do you simplify the factorial expression ((n+1)!)/(n!)(n+1)!n!((n+1)!)/(n!)?