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Popular >

simplify ((n+3)!)/(n!)

Solution

simplify

\frac{( n + 3 ) !}{n !}

Solution

(n + 3) (n + 2) (n + 1)

Solution steps

\frac{( n + 3 ) !}{n !}

Cancel the factorials:

\frac{n !}{( n - m ) !} = n \cdot (n - 1) \dots (n - m + 1), n > m

\frac{( n + 3 ) !}{n !} = (n + 3) (n + 2) (n + 1)

= (n + 3) (n + 2) (n + 1)

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Frequently Asked Questions (FAQ)

What is ((n+3)!)/(n!) ?
The solution to ((n+3)!)/(n!) is (n+3)(n+2)(n+1)