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 ) ! 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

6 x^{2} + 6 x - 36 = 84

\frac{( k ! ) ^{2}}{( ( k + 1 ) ! ) ^{2}}

x^{2} = 22 + 10 x

2 \cdot 2 x^{\frac{5}{4}} - 2 x^{\frac{1}{4}}

x^{2} - 6 x + 8 \geq 0