Evaluate (9!)/((9-5)!5!)

Math
9!(9-5)!5!
Subtract 5 from 9.
9!(4)!5!
Rewrite 9! as 9⋅8⋅7⋅6⋅5!.
9⋅8⋅7⋅6⋅5!(4)!5!
Cancel the common factor of 5!.
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Cancel the common factor.
9⋅8⋅7⋅6⋅5!(4)!5!
Rewrite the expression.
9⋅8⋅7⋅6(4)!
9⋅8⋅7⋅6(4)!
Simplify the numerator.
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Multiply 9 by 8.
72⋅7⋅6(4)!
Multiply 72 by 7.
504⋅6(4)!
Multiply 504 by 6.
3024(4)!
3024(4)!
Simplify the denominator.
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Expand (4)! to 4⋅3⋅2⋅1.
30244⋅3⋅2⋅1
Simplify.
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Multiply 4 by 3.
302412⋅2⋅1
Multiply 12 by 2.
302424⋅1
Multiply 24 by 1.
302424
302424
302424
Divide 3024 by 24.
126
Evaluate (9!)/((9-5)!5!)

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