What is (19!)/((19-6)!6!) ?

The solution to (19!)/((19-6)!6!) is 27132

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simplify (19!)/((19-6)!6!)

simplify

\frac{19 !}{( 19 - 6 ) ! 6 !}

27132

Solution steps

\frac{19 !}{( 19 - 6 ) ! \cdot 6 !}

Subtract the numbers:

19 - 6 = 13

= \frac{19 !}{13 ! \cdot 6 !}

Cancel the factorials:

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

\frac{19 !}{13 !} = 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15 \cdot 14

= \frac{19 \cdot 18 \cdot 17 \cdot 16 \cdot 15 \cdot 14}{6 !}

\frac{19 \cdot 18 \cdot 17 \cdot 16 \cdot 15 \cdot 14}{6 !} = 27132

= 27132

10 > \frac{x}{- 2}

\frac{9 !}{3 !}

3 f^{2} + 8 f - 3

64 x^{2} - 4 y^{2}

(\frac{8}{3})^{3} - 4 (\frac{8}{3})^{2}