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
• B. 12
• C. 24
• D. 64

Answer 1

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 time i.e., ${}^4{P}_3=24.$