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Popular >

simplify (13!)/(7!6!)

Solution

simplify

\frac{13 !}{7 ! 6 !}

Solution

1716

Solution steps

\frac{13 !}{7 ! \cdot 6 !}

Cancel the factorials:

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

\frac{13 !}{7 !} = 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8

= \frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8}{6 !}

\frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8}{6 !} = 1716

= 1716

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Frequently Asked Questions (FAQ)

What is (13!)/(7!6!) ?
The solution to (13!)/(7!6!) is 1716