AP ICET 2016 Paper

Question : 121 of 200

Marks: +1, -0

If A is a set such that

n(A)=5

, then the number of symmetric relations that can be defined on A is

Solution:

If a set A has p elements i.e; n(A) = p, then the number of symmetric relations defined from A to A is given by

2^{{p(p+1)}/2}

Given : p = 5
∴ Required no. of relations

=2^{{5×6}/2}=2^15

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