Evaluate
41608
Factor
2^{3}\times 7\times 743
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41664-\frac{40320}{5!\times 3!}
The factorial of 8 is 40320.
41664-\frac{40320}{120\times 3!}
The factorial of 5 is 120.
41664-\frac{40320}{120\times 6}
The factorial of 3 is 6.
41664-\frac{40320}{720}
Multiply 120 and 6 to get 720.
41664-56
Divide 40320 by 720 to get 56.
41608
Subtract 56 from 41664 to get 41608.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}