Evaluate
25200
Factor
2^{4}\times 3^{2}\times 5^{2}\times 7
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\frac{3628800}{4!\left(10-4\right)}
The factorial of 10 is 3628800.
\frac{3628800}{24\left(10-4\right)}
The factorial of 4 is 24.
\frac{3628800}{24\times 6}
Subtract 4 from 10 to get 6.
\frac{3628800}{144}
Multiply 24 and 6 to get 144.
25200
Divide 3628800 by 144 to get 25200.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}