If (|p|!)^p = |p|!, which of the following could be : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 Feb 2017, 13:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Status: Retaking next month
Affiliations: None
Joined: 05 Mar 2011
Posts: 229
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 570 Q42 V27
GPA: 3.01
WE: Sales (Manufacturing)
Followers: 5

Kudos [?]: 117 [0], given: 42

If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

21 Feb 2012, 21:40
31
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:43) correct 41% (00:43) wrong based on 735 sessions

### HideShow timer Statistics

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
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 37108
Followers: 7253

Kudos [?]: 96524 [0], given: 10753

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

21 Feb 2012, 21:49
Expert's post
1
This post was
BOOKMARKED
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.
_________________
Manager
Status: Retaking next month
Affiliations: None
Joined: 05 Mar 2011
Posts: 229
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 570 Q42 V27
GPA: 3.01
WE: Sales (Manufacturing)
Followers: 5

Kudos [?]: 117 [0], given: 42

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

22 Feb 2012, 00:04
Sorry missed the "mod". Silly mistake
Manager
Joined: 10 Jan 2010
Posts: 192
Location: Germany
Concentration: Strategy, General Management
Schools: IE '15 (M)
GMAT 1: Q V
GPA: 3
WE: Consulting (Telecommunications)
Followers: 2

Kudos [?]: 28 [0], given: 7

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

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
Joined: 12 Oct 2011
Posts: 131
GMAT 1: 700 Q48 V37
GMAT 2: 720 Q48 V40
Followers: 4

Kudos [?]: 196 [1] , given: 23

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

22 Feb 2012, 10:15
1
KUDOS
Isn't 0! equal to 1? I don't see where you see the 0^0.
Math Expert
Joined: 02 Sep 2009
Posts: 37108
Followers: 7253

Kudos [?]: 96524 [1] , given: 10753

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

22 Feb 2012, 10:24
1
KUDOS
Expert's post
You are right: 0^0 is not possible for LHS.

My copy of this question has (|p|!)^p=|p^p|!, so either it's some other question or it has already been revised. In its current form p=0 is a valid solution.
_________________
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 26

Kudos [?]: 443 [1] , given: 11

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

04 Dec 2012, 23:47
1
KUDOS
4
This post was
BOOKMARKED
[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

I just learned that 0! = 1. Thanks!
_________________

Impossible is nothing to God.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13955
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

04 Jul 2014, 10:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 02 Feb 2014
Posts: 7
Location: United States
Concentration: Healthcare, Entrepreneurship
Schools: Duke '17 (I)
GMAT 1: 660 Q47 V34
Followers: 0

Kudos [?]: 7 [0], given: 1

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

25 Oct 2014, 17:02
I haven't touched math for quite sometime since I chose to get a PhD in molecular genetics, and even though I'm having a blast on this site "learning" how to solve problems, some things just make no sense.

How can 0!=1?
who made up that rule? were they doing meth?

so if I have zero eggs then I can arrange them 0!=1 ways in my fridge
which is awesome for two main reasons.
a) I can put my zero eggs in the fridge one way without caring if I have or not space for eggs.
b) If I don't buy eggs then I'm burning one egg-arranging calorie quantum constantly so I'll be skinny in no time. Just don't buy eggs.

Man I love math, too bad I'll fail on the GMAT test.
Math Expert
Joined: 02 Sep 2009
Posts: 37108
Followers: 7253

Kudos [?]: 96524 [1] , given: 10753

If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

26 Oct 2014, 04:47
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
quijotes wrote:
I haven't touched math for quite sometime since I chose to get a PhD in molecular genetics, and even though I'm having a blast on this site "learning" how to solve problems, some things just make no sense.

How can 0!=1?
who made up that rule? were they doing meth?

so if I have zero eggs then I can arrange them 0!=1 ways in my fridge
which is awesome for two main reasons.
a) I can put my zero eggs in the fridge one way without caring if I have or not space for eggs.
b) If I don't buy eggs then I'm burning one egg-arranging calorie quantum constantly so I'll be skinny in no time. Just don't buy eggs.

Man I love math, too bad I'll fail on the GMAT test.

Why does 0! = 1?

_________________
Director
Affiliations: GMATQuantum
Joined: 19 Apr 2009
Posts: 589
Followers: 113

Kudos [?]: 432 [0], given: 14

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

26 Oct 2014, 05:46
The GMAT has not tested the fact 0!=1, and I highly doubt that they would test if students know 0!=1.

Dabral
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13955
Followers: 590

Kudos [?]: 167 [0], given: 0

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

17 Nov 2015, 20:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 02 Mar 2015
Posts: 26
Followers: 0

Kudos [?]: 1 [0], given: 22

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

21 Mar 2016, 20:17
If (|p|!)p=|p|!(|p|!)p=|p|!, which of the following could be the value(s) of pp ?

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

OA is E.

0! = 1(as studied in school books in India)
one can solve for all the values -1 , 0 , 1.

Thanks!
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 1926
Followers: 59

Kudos [?]: 425 [0], given: 477

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

23 Mar 2016, 07:58
Here We can test to see that all the values are possible.
Also we knoew he negative factorials are not defined but due to mod all the values are positive.
hence E
_________________

Give me a hell yeah ...!!!!!

Director
Joined: 04 Jun 2016
Posts: 656
GMAT 1: 750 Q49 V43
Followers: 52

Kudos [?]: 217 [0], given: 36

Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

### Show Tags

25 Jul 2016, 02:58
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

The only factorial that are perfect squares are 0! and 1!

-1, 0 , 1 all three are possible
since |-1|= 1

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016.

Re: If (|p|!)^p = |p|!, which of the following could be   [#permalink] 25 Jul 2016, 02:58
Similar topics Replies Last post
Similar
Topics:
2 Which of the following could be p if |3p – 4| < 1? 1 25 Dec 2016, 01:35
28 If x is positive, which of the following could be the 15 01 Nov 2010, 16:28
1 If = 3, which of the following could be the value of x – 4? 9 18 Nov 2009, 20:38
36 Which of the following could be the sum of the reciprocals 16 31 Mar 2009, 20:29
208 If x is positive, which of the following could be correct 52 03 Oct 2008, 13:37
Display posts from previous: Sort by