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If (|p|!)^p = |p|!, which of the following could be

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Manager
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If (|p|!)^p = |p|!, which of the following could be [#permalink] New post 21 Feb 2012, 21:40
00:00
A
B
C
D
E

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Question Stats:

56% (01:27) correct 43% (00:29) wrong based on 86 sessions
If (|p|!)^p = |p|!, which of the following could be the value(s) of p ?

A. -1
B. 0
C. 1
D. -1 and 1
E. -1, 0, and 1

How is OA E . factorials are not even defined for - numbers. Pls clarify.

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[Reveal] Spoiler: OA
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Re: If (|p|!)^p = |p|!, which of the following could be [#permalink] New post 21 Feb 2012, 21:49
Expert's post
GMATPASSION wrote:
If (|p|!)^p = |p|!, which of the following could be the value(s) of p ?

A. -1
B. 0
C. 1
D. -1 and 1
E. -1, 0, and 1

How is OA E . factorials are not even defined for - numbers. Pls clarify.

Q 15 Diagnostic test


You are right factorial of negative number is undefined. But it's not the case here since we have |p|!, so it's factorial of absolute value of p.

Hope it's clear.
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Manager
Manager
Status: Retaking next month
Affiliations: None
Joined: 05 Mar 2011
Posts: 230
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 570 Q42 V27
GPA: 3.01
WE: Sales (Manufacturing)
Followers: 4

Kudos [?]: 17 [0], given: 32

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink] New post 22 Feb 2012, 00:04
Sorry missed the "mod". Silly mistake :x
Current Student
Joined: 10 Jan 2010
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Schools: IE '15 (M)
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Kudos [?]: 21 [0], given: 7

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Re: If (|p|!)^p = |p|!, which of the following could be [#permalink] New post 22 Feb 2012, 03:16
I would go with D rather than E as 0^0 is not defined for GMAT

D. -1 and 1

(|p|!)^p = |p|! = |-1|!)^-1 = 1^-1 = 1
(|p|!)^p = |p|! = |1|!)^1 = 1^1 = 1
Manager
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Re: If (|p|!)^p = |p|!, which of the following could be [#permalink] New post 22 Feb 2012, 10:15
Isn't 0! equal to 1? I don't see where you see the 0^0.
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Re: If (|p|!)^p = |p|!, which of the following could be [#permalink] New post 22 Feb 2012, 10:24
Expert's post
Senior Manager
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Kudos [?]: 151 [0], given: 11

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Re: If (|p|!)^p = |p|!, which of the following could be [#permalink] New post 04 Dec 2012, 23:47
[quote="GMATPASSION"]If (|p|!)^p = |p|!, which of the following could be the value(s) of p ?

Test Values
A. -1 ==> |-1|^-1=|-||! ==> \frac{1}{1}=1 ==> -1 is valid
B. 0 ==> |0|!^0=|0|! ==> 1^0=1 ==> 1=1 ==> 0 is valid
C. 1 ==> 1^1=1 ==> 1 is valid
D. -1 and 1
E. -1, 0, and 1


Answer:E

I just learned that 0! = 1. Thanks!
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Re: If (|p|!)^p = |p|!, which of the following could be   [#permalink] 04 Dec 2012, 23:47
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