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Factorials

Prove that \({ (a }_{ 1 }{ ! }{ a }_{ 2 }!...{ a }_{ n }!)|(\sum _{ k=1 }^{ n }{ { a }_{ k } } )!\) where \(\left\{ { a }_{ 1 },{ a }_{ 2 }...{ a }_{ n } \right\}\) are positive integers greater than or equal to 2.

Note by K. J. W.
3 years ago

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