What is (13!)/(4!(13-4)!) ?

The solution to (13!)/(4!(13-4)!) is 715

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simplify (13!)/(4!(13-4)!)

simplify

\frac{13 !}{4 ! ( 13 - 4 ) !}

715

Solution steps

\frac{13 !}{4 ! ( 13 - 4 ) !}

Subtract the numbers:

13 - 4 = 9

= \frac{13 !}{4 ! \cdot 9 !}

Cancel the factorials:

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

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

= \frac{13 \cdot 12 \cdot 11 \cdot 10}{4 !}

\frac{13 \cdot 12 \cdot 11 \cdot 10}{4 !} = 715

= 715

\frac{3}{4} x^{2} y - \frac{8}{9} x y^{2}

z^{2} - 2 z + 1

1 + \frac{1}{1 + \frac{1}{2}}

1476

\frac{70}{12}