If the number of reflexive relations defined on a set A is 64, then th – InterviewSolution

1.	If the number of reflexive relations defined on a set A is 64, then the number of elements in A is _____A. 3B. 2C. 6D. 5
Answer» Correct Answer - A We have number of reflexive relations defined on A is `Z^(n-n)`, where n is the cardinal number of A. Given, `2^(n^(1)-n)=64rArr2^(n^(2)-n)=2^(6)` `rArr n^(2)-n=6rArr n(n-1)=3xx2` `therefore n=3`.

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