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Popular >

simplify (8!)/(7!(8-7)!)

Solution

simplify

\frac{8 !}{7 ! ( 8 - 7 ) !}

Solution

8

Solution steps

\frac{8 !}{7 ! ( 8 - 7 ) !}

Subtract the numbers:

8 - 7 = 1

= \frac{8 !}{7 ! \cdot 1 !}

Cancel the factorials:

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

\frac{8 !}{7 !} = 8

= \frac{8}{1 !}

\frac{8}{1 !} = 8

= 8

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Frequently Asked Questions (FAQ)

What is (8!)/(7!(8-7)!) ?
The solution to (8!)/(7!(8-7)!) is 8