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

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

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

simplify

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

66

Solution steps

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

Subtract the numbers:

12 - 2 = 10

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

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

10 x^{2} + 6 x + 1 = 0

- 4 m + 21 (m - 1) \leq 15 m + 2 (m - 1)

0 \geq \frac{5 - x}{2} \geq - 10

\frac{( n + 2 ) !}{( n + 1 ) !}

(- 1)^{\frac{4}{5}}