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Trivial Relation

A trivial rel...

Question

A trivial relation on a set A has the least number of elements.

A

True

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B

False

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Solution

The correct option is B
False

A trivial relation is a relation which is either empty or universal relation. The given statement is true only if trivial relation is the empty relation, which has the least number of elements. But it could be universal relation also, which has the most number of elements. So the given statement is false.

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