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Sets|Relations And Functions

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Relation And Functions

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A set "A" contains 'm' elements another set "B" contains 'n' elements. A relation is formed from A to B. Then the probability that the relation is a function is

Relation on a set

If A is set of different triangles in the plane and B is set of all positive real numbers. A relation R is defined from set A to set B such that every element of set A is associated with some number in set B which is measure of area of triangle. Is this relation as function?

What is the fundamental difference between an relation and a function? Is every relation a function?

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Which of the following relation is a function ?

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Relation between domain and function of composite functions