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Find sets A, B and C such that A nnB , B...

Find sets A, B and C such that `A nnB` , `B nnC` and `A nnC` are nonempty sets and `A nnB nnC=varphi` .

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Let `A={0,1},B={1,2},` and `C={2,0}`

Accordingly,

`A∩B={1}`

`B∩C={2}`

`A∩C={0}.`

∴`A∩B,B∩C, `and `A∩C` are non-empty.

However, `A∩B∩C=ϕ`

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