Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The maximum number of equivalence relations on the set A = {3, 5, 7}

Options:

1

2

3

5

Correct Answer:

5

Explanation:

The correct answer is Option (4) → 5

For the set A = {3, 5, 7}, we have n = 3. The bell numbers for small values of n are:

$B_1=1,B_2=2,B_3=5$

Thus, the maximum no. of equivalence relation is,

$B_3=5$