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Question

Find sets A,B and C such that AB,BC and CA are non-empty sets and ABC=ϕ.

A
A={0,1},B={1,2} and C={3,0}
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B
A={0,1},B={1,2} and C={2,0}
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C
A={1,1},B={1,2} and C={4,0}
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D
A={0,1},B={1,2} and C={2,0}
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Solution

The correct option is D A={0,1},B={1,2} and C={2,0}
Let, A={0,1},B={1,2} and C={2,0}
Accordingly, AB={1},BC={2} and CA={0}
AB,BC and CA are non-empty sets.
However, ABC=ϕ.

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