What is (10!)/((10-5)!5!) ?

The solution to (10!)/((10-5)!5!) is 252

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simplify (10!)/((10-5)!5!)

simplify

\frac{10 !}{( 10 - 5 ) ! 5 !}

252

Solution steps

\frac{10 !}{( 10 - 5 ) ! \cdot 5 !}

Subtract the numbers:

10 - 5 = 5

= \frac{10 !}{5 ! \cdot 5 !}

Cancel the factorials:

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

\frac{10 !}{5 !} = 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6

= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6}{5 !}

\frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6}{5 !} = 252

= 252

5 x + 22 = 83

(- \frac{5}{3})^{3}

0. 9^{10}

\frac{3 + 1}{3 - 1}

96 - 6 x^{2}