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Question

If X and Y are two sets then X(YX) equals

A
X
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B
Y
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C
ϕ
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D
none of these
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Solution

The correct option is C ϕ
Using Venn diagram


So X(YX) is null set.

Alternative solution:
X(YX)
X(YX)
(XX)Y
ϕY
ϕ

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