What are the smallest and the largest number of relations on a set n?
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Out of these relations, the relation R = (AxA) as a subset of (AxA) is the largest relation and R = phi (empty relation) is the smallest relations on A which in fact contains no ordered pair from AxA.
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3
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Let s be a set of n elements. The number of ordered pairs in the largest and smallest equivalence relation on set s are n2 and n.
I am able to understand the largest set of equivalence relation, but in case of smallest set of equivalence relation it could be an empty set..so according to me it is 0.
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