Evaluate (15!)/(11!*4!)

Math
15!11!⋅4!
Rewrite 15! as 15⋅14⋅13⋅12⋅11!.
15⋅14⋅13⋅12⋅11!11!⋅4!
Cancel the common factor of 11!.
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Cancel the common factor.
15⋅14⋅13⋅12⋅11!11!⋅4!
Rewrite the expression.
15⋅14⋅13⋅124!
15⋅14⋅13⋅124!
Simplify the numerator.
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Multiply 15 by 14.
210⋅13⋅124!
Multiply 210 by 13.
2730⋅124!
Multiply 2730 by 12.
327604!
327604!
Simplify the denominator.
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Expand 4! to 4⋅3⋅2⋅1.
327604⋅3⋅2⋅1
Simplify.
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Multiply 4 by 3.
3276012⋅2⋅1
Multiply 12 by 2.
3276024⋅1
Multiply 24 by 1.
3276024
3276024
3276024
Divide 32760 by 24.
1365
Evaluate (15!)/(11!*4!)

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