State, which of the following pairs of sets are disjoint :

{ $x : x$ is a fan of cricket} and { $x : x$ is a fan of football}

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Solution

Check whether the pair of sets are disjoint

Given:{ $x : x$ is a fan of cricket} and { $x : x$ is a fan of football

Since, a fan of cricket and a fan of football, both are completely different things.

$∴$ No common element in the given sets.

And we know that Sets having no element in common are called disjoint sets.

Hence, the given pair of sets are disjoint sets.

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