Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is _____.

Correct Answer:
24
Explanation:

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 i.e. ${^4C}_3 × 3! = 24$.