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

t^{2} - 4 t + 3 = 0

(2 - - 5)^{2}

6^{2} + 1^{2} = c^{2}

(\frac{1}{5})^{x}

(22)^{3}