What is (12!)/(10!(12-10)!) ?

The solution to (12!)/(10!(12-10)!) is 66

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simplify (12!)/(10!(12-10)!)

simplify

\frac{12 !}{10 ! ( 12 - 10 ) !}

66

Solution steps

\frac{12 !}{10 ! ( 12 - 10 ) !}

Subtract the numbers:

12 - 10 = 2

= \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

x^{2} - x y + x - x y^{2} + y^{3} - y^{2}

3 w < 9

\frac{\frac{5}{13}}{\frac{12}{13}}

\frac{5 x y}{35 y}

\frac{2}{5} - \frac{3}{10}