What is (18!)/(3!(18-3)!) ?

The solution to (18!)/(3!(18-3)!) is 816

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simplify (18!)/(3!(18-3)!)

simplify

\frac{18 !}{3 ! ( 18 - 3 ) !}

816

Solution steps

\frac{18 !}{3 ! ( 18 - 3 ) !}

Subtract the numbers:

18 - 3 = 15

= \frac{18 !}{3 ! \cdot 15 !}

Cancel the factorials:

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

\frac{18 !}{15 !} = 18 \cdot 17 \cdot 16

= \frac{18 \cdot 17 \cdot 16}{3 !}

\frac{18 \cdot 17 \cdot 16}{3 !} = 816

= 816

\frac{2 x}{3} + \frac{4 x - 1}{5} = 2

\frac{7.6 1 ^{2}}{14}

\frac{14 !}{( 14 - 6 ) ! 6 !}

(1 + \frac{2}{n})^{n}