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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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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

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

Q 15 Diagnostic test
[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
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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Kudos [?]: 59 [0], given: 42

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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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 [#permalink]

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New post 04 Jul 2014, 11:19
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Re: If (|p|!)^p = |p|!, which of the following could be [#permalink]

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New post 25 Oct 2014, 18:02
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.
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If (|p|!)^p = |p|!, which of the following could be [#permalink]

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New post 26 Oct 2014, 05:47
Expert's post
1
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?

https://www.youtube.com/watch?v=Mfk_L4Nx2ZI
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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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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New post 17 Nov 2015, 21:32
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).

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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
Re: If (|p|!)^p = |p|!, which of the following could be   [#permalink] 23 Mar 2016, 08:58
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