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 ) ! 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{3}{2} x + 9 \leq 24

\frac{2 ^{- 0.001} - 1}{- 0.001}

lo g_{6} (4) + lo g_{6} (9)

2 x^{3} - 3 x^{2} - 27

x \leq 3 x + 2 \leq x + 6