Evaluate
120
Factor
2^{3}\times 3\times 5
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\frac{3628800}{7!\left(10-7\right)!}
The factorial of 10 is 3628800.
\frac{3628800}{5040\left(10-7\right)!}
The factorial of 7 is 5040.
\frac{3628800}{5040\times 3!}
Subtract 7 from 10 to get 3.
\frac{3628800}{5040\times 6}
The factorial of 3 is 6.
\frac{3628800}{30240}
Multiply 5040 and 6 to get 30240.
120
Divide 3628800 by 30240 to get 120.
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