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Popular >

simplify (8!)/((8-3)!3!)

Solution

simplify

\frac{8 !}{( 8 - 3 ) ! 3 !}

Solution

56

Solution steps

\frac{8 !}{( 8 - 3 ) ! \cdot 3 !}

Subtract the numbers:

8 - 3 = 5

= \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!)/((8-3)!3!) ?
The solution to (8!)/((8-3)!3!) is 56