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Popular >

simplify (8!)/(5!(8-5)!)

Solution

simplify

\frac{8 !}{5 ! ( 8 - 5 ) !}

Solution

56

Solution steps

\frac{8 !}{5 ! ( 8 - 5 ) !}

Subtract the numbers:

8 - 5 = 3

= \frac{8 !}{5 ! \cdot 3 !}

Cancel the factorials:

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

\frac{8 !}{5 !} = 8 \cdot 7 \cdot 6

= \frac{8 \cdot 7 \cdot 6}{3 !}

\frac{8 \cdot 7 \cdot 6}{3 !} = 56

= 56

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Frequently Asked Questions (FAQ)

What is (8!)/(5!(8-5)!) ?
The solution to (8!)/(5!(8-5)!) is 56