# Q. 12 Find sets A, B and C such that A $\cap$ B, B $\cap$ C and A $\cap$ C are non-empty sets and A  $\cap$ B $\cap$ C $=$ $\phi$

Given,    A $\cap$ B, B $\cap$ C and A $\cap$ C are non-empty sets

To prove : A  $\cap$ B $\cap$ C $=$ $\phi$

Let A = {1,2}

B = {1,3}

C = {3,2}

Here,   A $\cap$ B = {1}

B $\cap$ C = {3}

A $\cap$ C = {2}

and   A  $\cap$ B $\cap$ C $=$ $\phi$

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