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If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
21 Feb 2012, 22:40
21 Feb 2012, 22:40
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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
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
Q 15 Diagnostic test
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Senior Manager
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
05 Dec 2012, 00:47
05 Dec 2012, 00:47
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[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!
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!
General Discussion
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
21 Feb 2012, 22:49
21 Feb 2012, 22:49
1
Kudos
2
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Expert Reply
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
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
Joined: 05 Mar 2011
Status:Retaking next month
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Posts: 105
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 570 Q42 V27
GPA: 3.01
WE:Sales (Manufacturing)
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
22 Feb 2012, 01:04
22 Feb 2012, 01:04
Sorry missed the "mod". Silly mistake 
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
22 Feb 2012, 04:16
22 Feb 2012, 04:16
1
Kudos
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
D. -1 and 1
(|p|!)^p = |p|! = |-1|!)^-1 = 1^-1 = 1
(|p|!)^p = |p|! = |1|!)^1 = 1^1 = 1
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
22 Feb 2012, 11:15
22 Feb 2012, 11:15
1
Kudos
Isn't 0! equal to 1? I don't see where you see the 0^0.
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
22 Feb 2012, 11:24
22 Feb 2012, 11:24
2
Kudos
Expert Reply
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.
_________________
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.
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Joined: 02 Feb 2014
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GMAT 1: 660 Q47 V34
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
25 Oct 2014, 18:02
25 Oct 2014, 18:02
2
Kudos
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.
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.
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
26 Oct 2014, 05:47
26 Oct 2014, 05:47
2
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2
Bookmarks
Expert Reply
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.
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?
https://www.youtube.com/watch?v=Mfk_L4Nx2ZI
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
26 Oct 2014, 06:46
26 Oct 2014, 06:46
Expert Reply
The GMAT has not tested the fact 0!=1, and I highly doubt that they would test if students know 0!=1.
Dabral
Dabral
Intern
Joined: 02 Mar 2015
Posts: 19
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
21 Mar 2016, 21:17
21 Mar 2016, 21:17
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!
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!
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
23 Mar 2016, 08:58
23 Mar 2016, 08:58
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
Also we knoew he negative factorials are not defined but due to mod all the values are positive.
hence E
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
25 Jul 2016, 03:58
25 Jul 2016, 03:58
1
Bookmarks
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
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
ANSWER IS E
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
06 Aug 2017, 03:05
06 Aug 2017, 03:05
how is -1 valid? I still do not get it
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
22 Aug 2017, 07:56
22 Aug 2017, 07:56
1
Kudos
pclawong wrote:
how is -1 valid? I still do not get it
The absolute value sign.
(|-1|!)^ (-1) = 1/(1!) = 1.
Manager
Joined: 22 Nov 2016
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Schools: Wharton Exec '22 (A) Haas EWMBA '23 (A)
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
13 Nov 2017, 13:05
13 Nov 2017, 13:05
0! = 1 because an empty set can only be ordered in 1 way.
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
28 Nov 2018, 08:01
28 Nov 2018, 08:01
1
Kudos
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
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
Dear Moderator,
Can we remove the answer which is outside the spoiler, so that we can get the joy of arriving at the answer ourselves. Thank you.
_________________
- Stne
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
28 Nov 2018, 08:08
28 Nov 2018, 08:08
Expert Reply
stne wrote:
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
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
Dear Moderator,
Can we remove the answer which is outside the spoiler, so that we can get the joy of arriving at the answer ourselves. Thank you.
_________________
Done. Thank you.
_________________
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Intern
Joined: 12 Oct 2018
Posts: 31
Location: India
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
24 Dec 2018, 07:02
24 Dec 2018, 07:02
Hi Bunuel can you please provide the answer to the above question. I was not able to understand it from the above discussion. Thank you!
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p?
[#permalink]
30 Sep 2020, 23:36
30 Sep 2020, 23:36
1
Kudos
Simple Answer:
Because 0! = 1
and
1! = 1
if you plug 0, +1, or -1 into the given Equation, you will end up with:
+1 =+1
-E-
Because 0! = 1
and
1! = 1
if you plug 0, +1, or -1 into the given Equation, you will end up with:
+1 =+1
-E-
gmatclubot
Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink]
30 Sep 2020, 23:36
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