Q.

If a set A has n elements then the number of all relations on A  is

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a

2n2

b

2n2-1

c

2n

d

none of these

answer is A.

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Detailed Solution

AxA has nxn=n2 elements and any subset of AxA is a relation on A. The number of such subsets is 2n2.
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If a set A has n elements then the number of all relations on A  is