What is (11!)/((11-4)!) ?

The solution to (11!)/((11-4)!) is 7920

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simplify (11!)/((11-4)!)

simplify

\frac{11 !}{( 11 - 4 ) !}

7920

Solution steps

\frac{11 !}{( 11 - 4 ) !}

Cancel the factorials:

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

\frac{11 !}{( 11 - 4 ) !} = 11 \cdot 10 \cdot 9 \cdot 8

= 11 \cdot 10 \cdot 9 \cdot 8

Multiply the numbers:

11 \cdot 10 \cdot 9 \cdot 8 = 7920

= 7920

12 x^{2} - 192 x + 576 = 0

(2 x + 5) (2 x - 5) + 25 = 2 x

\frac{2}{3} + \frac{3 x + 4 y}{3 y}

lo g_{1.05} (2)

30 x^{3} y + 35 x^{2} y^{3}