What is (16!)/((16-4)!4!) ?

The solution to (16!)/((16-4)!4!) is 1820

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simplify (16!)/((16-4)!4!)

simplify

\frac{16 !}{( 16 - 4 ) ! 4 !}

1820

Solution steps

\frac{16 !}{( 16 - 4 ) ! \cdot 4 !}

Subtract the numbers:

16 - 4 = 12

= \frac{16 !}{12 ! \cdot 4 !}

Cancel the factorials:

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

\frac{16 !}{12 !} = 16 \cdot 15 \cdot 14 \cdot 13

= \frac{16 \cdot 15 \cdot 14 \cdot 13}{4 !}

\frac{16 \cdot 15 \cdot 14 \cdot 13}{4 !} = 1820

= 1820

\frac{2}{3} \cdot 16

\frac{x + 10}{8} = \frac{x}{3}

\frac{y ^{2} z ^{8}}{yz}

2 x^{2} + 6 x - 3 = 0

(x^{2})^{3}