# What would be the value of (99! 8! 6! 5! 4!/100! 7! 3! 0!) = ??

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99! 8! 6! 5! 4!/100! 7! 3! 0! = ??

posted Jul 29, 2015

99! 8! 6! 5! 4! / 100! 7! 3! 0!
= 99! 8*7! 6! 5! 4.3! / 100*99! 7! 3! 0!
= 8. 6! 5! 4 / 100.1
= 25282923724800

(0! = 1, not zero, read http://mathforum.org/library/drmath/view/57128.html )

If the question was [99! 8! 6! 5! 4! / (100! 7! 3! 0!) ], the answer would be 99! / 100! * 8! / 7! * 4! / 3! * 6! * 5! = 1/100 * 8 * 4 * 6! * 5! = 27648

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