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Question

If $A comma B$ and $C$ are three non-empty sets such that any two of them are disjoint, then $open parentheses A union B union C close parentheses intersection open parentheses A intersection B intersection C close parentheses equals$

$A$
$B$
$C$
$ϕ$

The correct answer is: $ϕ$

As $A comma B comma C$ are pair wise disjoints. Therefore,
$A intersection B equals ϕ comma B intersection C equals ϕ blank a n d blank A intersection C equals ϕ$
$rightwards double arrow A intersection B intersection C equals ϕ rightwards double arrow open parentheses A union B union C close parentheses intersection open parentheses A intersection B intersection C close parentheses equals ϕ$

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