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Question

Empty relation on set A and empty set has the same number of elements


A

True

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B

False

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Solution

The correct option is A

True


We want to check if the number of elements in an empty set is equal to the number of elements in an empty relation. We know that an empty set does not have any element in it. So the number of elements will be zero. An empty relation is a relation in which no element is related to any element. In such a relation there won't be any element. So the number of elements is again zero, same as the number of elements in an empty set.


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