Evaluate (10!)/((10-6)!6!)

Math
10!(10-6)!6!
Subtract 6 from 10.
10!(4)!6!
Rewrite 10! as 10⋅9⋅8⋅7⋅6!.
10⋅9⋅8⋅7⋅6!(4)!6!
Cancel the common factor of 6!.
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Cancel the common factor.
10⋅9⋅8⋅7⋅6!(4)!6!
Rewrite the expression.
10⋅9⋅8⋅7(4)!
10⋅9⋅8⋅7(4)!
Simplify the numerator.
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Multiply 10 by 9.
90⋅8⋅7(4)!
Multiply 90 by 8.
720⋅7(4)!
Multiply 720 by 7.
5040(4)!
5040(4)!
Simplify the denominator.
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Expand (4)! to 4⋅3⋅2⋅1.
50404⋅3⋅2⋅1
Simplify.
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Multiply 4 by 3.
504012⋅2⋅1
Multiply 12 by 2.
504024⋅1
Multiply 24 by 1.
504024
504024
504024
Divide 5040 by 24.
210
Evaluate (10!)/((10-6)!6!)

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