What is (12!)/((12-2)!*2!) ?

The solution to (12!)/((12-2)!*2!) is 66

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simplify (12!)/((12-2)!*2!)

simplify

\frac{12 !}{( 12 - 2 ) ! \cdot 2 !}

66

Solution steps

\frac{12 !}{( 12 - 2 ) ! \cdot 2 !}

Subtract the numbers:

12 - 2 = 10

= \frac{12 !}{10 ! \cdot 2 !}

Cancel the factorials:

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

\frac{12 !}{10 !} = 12 \cdot 11

= \frac{12 \cdot 11}{2 !}

\frac{12 \cdot 11}{2 !} = 66

= 66

\frac{- 1 + 5 i}{1 - i}

50 m^{2} - 5 m - 1 = 0

4 (x - 3) \frac{1}{2} = 8

\frac{1}{8 x ^{- 2} y ^{- 6}}

4 (3 x - 2) = 40