JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Analyzing +4 | -1

Statement I:- The number of reflexive relation on set A={2,3,4} is 64
Statement II:- The number of reflexive relation on set

A = \left\{ {{x_1},{x_2},.......{x_n}} \right\}

{2^{{n^2} - 2}}

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Correct option: A

I is true II is also true and II is the correct explanation for I

Statement I is true, Statement II is false. The number of reflexive relations on a set A with n elements is 2^{(n² - n)}.

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