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Set A has three elements and set B has f...

Set A has three elements and set B has four elements. The number of injections that can be defined from A to B is

A

144

B

12

C

24

D

64

Text Solution

Verified by Experts

The correct Answer is:
C
The total number of injective mappings 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. `^(4)C_(3) xx 3!=24`
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