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 $ .