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Set A has 3 elements and set B has 4 elements. The number of

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Set A has 3 elements and set B has 4 elements. The number of [#permalink] New post 30 Sep 2010, 04:11
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A
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E

Difficulty:

  55% (hard)

Question Stats:

21% (01:27) correct 79% (00:35) wrong based on 28 sessions
Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

A. 144
B. 12
C. 24
D. 64
E. 124
[Reveal] Spoiler: OA
Expert Post
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Joined: 02 Sep 2009
Posts: 29185
Followers: 4736

Kudos [?]: 50061 [0], given: 7527

Re: Functions........ [#permalink] New post 30 Sep 2010, 04:45
Expert's post
pzazz12 wrote:
Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

A. 144
B. 12
C. 24
D. 64
E. 124


Injective function is not tested on GMAT, so I wouldn't worry about this problem at all.

But if interested as 3<4 then the number of injections from A to B is \(P^3_4=24\). But again don't waste your time on this problem.
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Manager
Manager
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Joined: 22 Sep 2010
Posts: 91
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Kudos [?]: 53 [0], given: 0

Re: Functions........ [#permalink] New post 01 Oct 2010, 04:03
Bunuel wrote:
pzazz12 wrote:
Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

A. 144
B. 12
C. 24
D. 64
E. 124


Injective function is not tested on GMAT, so I wouldn't worry about this problem at all.

But if interested as 3<4 then the number of injections from A to B is \(P^3_4=24\). But again don't waste your time on this problem.


thank you,but can you explain me little bit clear...........
Expert Post
Math Expert
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Joined: 02 Sep 2009
Posts: 29185
Followers: 4736

Kudos [?]: 50061 [0], given: 7527

Re: Functions........ [#permalink] New post 01 Oct 2010, 04:36
Expert's post
pzazz12 wrote:
Bunuel wrote:
pzazz12 wrote:
Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

A. 144
B. 12
C. 24
D. 64
E. 124


Injective function is not tested on GMAT, so I wouldn't worry about this problem at all.

But if interested as 3<4 then the number of injections from A to B is \(P^3_4=24\). But again don't waste your time on this problem.


thank you,but can you explain me little bit clear...........


Injective function is not tested on GMAT, so don't worry about this problem.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Re: Functions........   [#permalink] 01 Oct 2010, 04:36
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Set A has 3 elements and set B has 4 elements. The number of

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