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

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GMATPASSION
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If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   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

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

Q 15 Diagnostic test


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E
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mbaiseasy
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   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!
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   21 Feb 2012, 22:49
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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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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   22 Feb 2012, 01:04
Sorry missed the "mod". Silly mistake :x
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   22 Feb 2012, 04:16
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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
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   22 Feb 2012, 11:15
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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 the value(s) of p? [#permalink] New post   22 Feb 2012, 11:24
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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.
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   25 Oct 2014, 18:02
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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.
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   26 Oct 2014, 05:47
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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?

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] New post   26 Oct 2014, 06:46
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The GMAT has not tested the fact 0!=1, and I highly doubt that they would test if students know 0!=1.

Dabral
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   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!
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   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
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   25 Jul 2016, 03:58
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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

ANSWER IS E
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pclawong
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   06 Aug 2017, 03:05
how is -1 valid? I still do not get it
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   22 Aug 2017, 07:56
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pclawong wrote:
how is -1 valid? I still do not get it

The absolute value sign.

(|-1|!)^ (-1) = 1/(1!) = 1.
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   13 Nov 2017, 13:05
0! = 1 because an empty set can only be ordered in 1 way.
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   28 Nov 2018, 08:01
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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


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.
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   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


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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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   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!
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Re: If (|p|!)^p = |p|!, which of the following could be the value(s) of p? [#permalink] New post   30 Sep 2020, 23:36
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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-
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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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