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Question

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

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B

12

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C

24

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D

64

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Solution

The correct option is C

24


Finding the number of interjections defined from A to B:

Given, set A has 3 elements

Set B has 4 elements

Injection is also referred as permutation, which shows several conceivable orders or arrangements for a group or number of things.

The formula used will be P(n,r)=n!(n-r)!

Number of injections that can be defined from A to B:

=4P3=4![43]!=4×3×2=24

Therefore, the correct answer is option (C).


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