What is (13!)/((13-8)!) ?

The solution to (13!)/((13-8)!) is 51891840

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simplify (13!)/((13-8)!)

simplify

\frac{13 !}{( 13 - 8 ) !}

51891840

Solution steps

\frac{13 !}{( 13 - 8 ) !}

Cancel the factorials:

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

\frac{13 !}{( 13 - 8 ) !} = 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6

= 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6

Multiply the numbers:

13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 = 51891840

= 51891840

(8100) (7 - 49)

4.217 x - 3.67 = 6.33 - 0.783 x

2 x^{\frac{1}{2}} - (2 y)^{\frac{1}{2}}

x^{2} - 9 x + 11 = 2 x^{2} - 3 x + 4

\frac{8}{- 3}