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Question

How many elements will be there in the universal relation defined on the set A = {1,4, 9}

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Solution

Universal relation is a relation in which all elements are connected to each other. We also saw that universal relation and cartesian product are same. In a cartesian product between two sets with m and n number of elements, there will be m × n elements. So the number of elements in the cartesian product of A × A will be equal to 3 × 3 or 9. This is same as the number of elements in a universal relation. So the answer is 9


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