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Popular >

simplify (9!)/(2!(9-2)!)

Solution

simplify

\frac{9 !}{2 ! ( 9 - 2 ) !}

Solution

36

Solution steps

\frac{9 !}{2 ! ( 9 - 2 ) !}

Subtract the numbers:

9 - 2 = 7

= \frac{9 !}{2 ! \cdot 7 !}

Cancel the factorials:

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

\frac{9 !}{7 !} = 9 \cdot 8

= \frac{9 \cdot 8}{2 !}

\frac{9 \cdot 8}{2 !} = 36

= 36

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Frequently Asked Questions (FAQ)

What is (9!)/(2!(9-2)!) ?
The solution to (9!)/(2!(9-2)!) is 36