# Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = φ

**Solution:**

Let A = {1, 2}, B = {2, 3} , and C = {1, 3}

We can see that

A ∩ B = {2}, B ∩ C = {3} and A ∩ C = {1}

Hence, A ∩ B, B ∩ C and A ∩ C are non-empty.

However, A ∩ B ∩ C = Φ

NCERT Solutions Class 11 Maths Chapter 1 Exercise ME Question 12

## Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = φ.

Two sets are given. We have proved that A ∩ B ∩ C = Φ