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### Show Tags

05 Aug 2019, 22:15
00:00

Difficulty:

55% (hard)

Question Stats:

44% (01:46) correct 56% (01:07) wrong based on 18 sessions

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If a,b, & c are positive integers, is $$\frac{a!b!}{c!}$$ an integer?

(1) $$4 < a < c$$
(2) $$ab = 8$$

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Re: If a,b, $c are positive integers, is a!b!/c! an integer? [#permalink] ### Show Tags 05 Aug 2019, 22:41 Statement 1- we have no idea about the value of b insufficient Statement 2- we have no idea about the value of c insufficient Combining both equations. a*b=8, a>4, and a & b are positive integers Hence a=8 and b=1 Also c>a, hence c>8 $$\frac{a!b!}{c!}$$ can never be an integer Sufficient C Abhi077 wrote: If a,b, & c are positive integers, $$is \frac{a!b!}{c!}$$ an integer? 1) $$4 < a < c$$ 2) $$ab = 8$$ Re: If a,b,$ c are positive integers, is a!b!/c! an integer?   [#permalink] 05 Aug 2019, 22:41
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