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If a,b, $ c are positive integers, is a!b!/c! an integer?

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If a,b, $ c are positive integers, is a!b!/c! an integer?  [#permalink]

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New post 05 Aug 2019, 21:15
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Question Stats:

46% (01:45) correct 54% (01:10) wrong based on 24 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]

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New post 05 Aug 2019, 21:41
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) \(ab = 8\)
GMAT Club Bot
Re: If a,b, $ c are positive integers, is a!b!/c! an integer?   [#permalink] 05 Aug 2019, 21:41

If a,b, $ c are positive integers, is a!b!/c! an integer?

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