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Ten factorial over six factorial as a factorial

Question

Find the integer nn with n!=10!6!n!=\dfrac{10!}{6!}.

Short answer

77. The quotient is 10⋅9⋅8⋅7=504010\cdot9\cdot8\cdot7=5040, and 7!=50407!=5040.

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

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