What is (14!)/(3!(14-3)!) ?

The solution to (14!)/(3!(14-3)!) is 364

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simplify (14!)/(3!(14-3)!)

simplify

\frac{14 !}{3 ! ( 14 - 3 ) !}

364

Solution steps

\frac{14 !}{3 ! ( 14 - 3 ) !}

Subtract the numbers:

14 - 3 = 11

= \frac{14 !}{3 ! \cdot 11 !}

Cancel the factorials:

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

\frac{14 !}{11 !} = 14 \cdot 13 \cdot 12

= \frac{14 \cdot 13 \cdot 12}{3 !}

\frac{14 \cdot 13 \cdot 12}{3 !} = 364

= 364

2 + 4 x = 0

x^{3} - 8 x^{2} + 17 x - 10

\frac{8}{3} - \frac{2}{3}

\frac{3 x ^{2} y}{6 x y}

(2 x - 7) (x - 1) = 0