Functions Question 684

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

[UPSEAT 2001]

Options:

A) 144

B) 12

C) 24

D) 64

Show Answer

Answer:

Correct Answer: C

Solution:

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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