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Number of Functions Possible from Set A to Set B

Set 'A' has 3...

Question

Set 'A' has 3 elements and set 'B' has 4 elements. The number of injection 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
The total number of injective functions from a set A containing 3 elements to a set B containing 4 elements is equal to the total number of arrangements of 4 by taking 3 at a time i.e., $^{4} P_{3} = 24.$

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