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Popular >

simplify (8!)/(6!(8-6)!)

Solution

simplify

\frac{8 !}{6 ! ( 8 - 6 ) !}

Solution

28

Solution steps

\frac{8 !}{6 ! ( 8 - 6 ) !}

Subtract the numbers:

8 - 6 = 2

= \frac{8 !}{6 ! \cdot 2 !}

Cancel the factorials:

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

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

= \frac{8 \cdot 7}{2 !}

\frac{8 \cdot 7}{2 !} = 28

= 28

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Frequently Asked Questions (FAQ)

What is (8!)/(6!(8-6)!) ?
The solution to (8!)/(6!(8-6)!) is 28