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Popular >

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

Solution

simplify

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

Solution

6720

Solution steps

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

Cancel the factorials:

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

\frac{8 !}{( 8 - 5 ) !} = 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4

= 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4

Multiply the numbers:

8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 = 6720

= 6720

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Frequently Asked Questions (FAQ)

What is (8!)/((8-5)!) ?
The solution to (8!)/((8-5)!) is 6720