What is (9!)/((9-5)!*5!) ?

The solution to (9!)/((9-5)!*5!) is 126

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simplify (9!)/((9-5)!*5!)

simplify

\frac{9 !}{( 9 - 5 ) ! \cdot 5 !}

126

Solution steps

\frac{9 !}{( 9 - 5 ) ! \cdot 5 !}

Subtract the numbers:

9 - 5 = 4

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

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

\frac{x + 4}{3} = - 6

\frac{4}{2 - 5 3}

x^{4} - 6 x^{3} + 4 x^{2} + 15 x + 4

98 z^{2} + 39 = 41

4 a^{3} - 36 a