What is (9!)/((9-4)!*4!) ?

The solution to (9!)/((9-4)!*4!) is 126

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simplify (9!)/((9-4)!*4!)

simplify

\frac{9 !}{( 9 - 4 ) ! \cdot 4 !}

126

Solution steps

\frac{9 !}{( 9 - 4 ) ! \cdot 4 !}

Subtract the numbers:

9 - 4 = 5

= \frac{9 !}{5 ! \cdot 4 !}

Cancel the factorials:

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

\frac{9 !}{5 !} = 9 \cdot 8 \cdot 7 \cdot 6

= \frac{9 \cdot 8 \cdot 7 \cdot 6}{4 !}

\frac{9 \cdot 8 \cdot 7 \cdot 6}{4 !} = 126

= 126

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- 5 x^{2} + 10 x + 20

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