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

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

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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

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]

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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 [#permalink]

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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 [#permalink]

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New post 22 Feb 2012, 04:16
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

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

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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 [#permalink]

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

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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 [#permalink]

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

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

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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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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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

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

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

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

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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 [#permalink]

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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 [#permalink]

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New post 25 Jul 2016, 03:58
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

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

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New post 06 Aug 2017, 01:39
Hello from the GMAT Club BumpBot!

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

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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 [#permalink]

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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   [#permalink] 22 Aug 2017, 07:56
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