If A, B, C arc 3 non-empty sets, then (A∩B)∩(B∩C)∩(C∩A) is equal to

# If A, B, C arc 3 non-empty sets, then $\left(A\cap B\right)\cap \left(B\cap C\right)\cap \left(C\cap A\right)$ is equal to

1. A

$A\cap B\cap C$

2. B

$A\cup B\cup C$

3. C

$\varphi$

4. D

None of these

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### Solution:

$\left(A\cap B\right)\cap \left(B\cap C\right)\cap \left(C\cap A\right)=A\cap B\cap C$

The correct answer is 1.

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