What is (13!)/((13-3)!3!) ?

The solution to (13!)/((13-3)!3!) is 286

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simplify (13!)/((13-3)!3!)

simplify

\frac{13 !}{( 13 - 3 ) ! 3 !}

286

Solution steps

\frac{13 !}{( 13 - 3 ) ! \cdot 3 !}

Subtract the numbers:

13 - 3 = 10

= \frac{13 !}{10 ! \cdot 3 !}

Cancel the factorials:

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

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

= \frac{13 \cdot 12 \cdot 11}{3 !}

\frac{13 \cdot 12 \cdot 11}{3 !} = 286

= 286

- 32 c + 12 \leq - 66 c - 16

\frac{x + 1}{3} = \frac{x}{2}

\frac{6 !}{( 6 - 2 ) ! 2 !}

- 4 x \leq 8

\frac{8}{( 2 - \frac{1 + \frac{1}{3}}{\frac{2}{6}} )}