What is (11!)/((11-2)!*2!) ?

The solution to (11!)/((11-2)!*2!) is 55

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simplify (11!)/((11-2)!*2!)

simplify

\frac{11 !}{( 11 - 2 ) ! \cdot 2 !}

55

Solution steps

\frac{11 !}{( 11 - 2 ) ! \cdot 2 !}

Subtract the numbers:

11 - 2 = 9

= \frac{11 !}{9 ! \cdot 2 !}

Cancel the factorials:

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

\frac{11 !}{9 !} = 11 \cdot 10

= \frac{11 \cdot 10}{2 !}

\frac{11 \cdot 10}{2 !} = 55

= 55

(4 x + 1) (3 x - 2) = 0

2 + 2 f \geq 10

3 (\frac{8}{9})^{0}

\frac{( m ^{6} - n ^{6} )}{( m - n )}

\frac{6 n ^{2} + 8 n + 2}{2 n ^{2} - 2}