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Popular >

simplify (7!)/((7-4)!)

Solution

simplify

\frac{7 !}{( 7 - 4 ) !}

Solution

840

Solution steps

\frac{7 !}{( 7 - 4 ) !}

Cancel the factorials:

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

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

= 7 \cdot 6 \cdot 5 \cdot 4

Multiply the numbers:

7 \cdot 6 \cdot 5 \cdot 4 = 840

= 840

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Frequently Asked Questions (FAQ)

What is (7!)/((7-4)!) ?
The solution to (7!)/((7-4)!) is 840