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

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

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

simplify

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

715

Solution steps

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

Subtract the numbers:

13 - 4 = 9

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

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

x^{2} + 12 x + 32

lo g_{9} (\frac{1}{9})

- 16 x^{2} + 16 x + 32 = 0

(1 + \frac{0.07}{12})^{12}

2 \leq \frac{3}{2} x - 1 < 8