What is (13!)/((13-6)!6!) ?

The solution to (13!)/((13-6)!6!) is 1716

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simplify (13!)/((13-6)!6!)

simplify

\frac{13 !}{( 13 - 6 ) ! 6 !}

1716

Solution steps

\frac{13 !}{( 13 - 6 ) ! \cdot 6 !}

Subtract the numbers:

13 - 6 = 7

= \frac{13 !}{7 ! \cdot 6 !}

Cancel the factorials:

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

\frac{13 !}{7 !} = 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8

= \frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8}{6 !}

\frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8}{6 !} = 1716

= 1716

\frac{1}{2} ln (3)

\frac{1}{2} \cdot 1.204 \cdot (6.1)^{2}

3 (p - 4) - (p - 4)^{2}

ln (2)

- 2 x^{2} + 61 x + 330 = 12 x