JEE MATHEMATICS MCQ: RELATIONS

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Let

X

be a set containing

n

elements. The number of reflexive relations that can be defined on

X

View answer and explanation

Correct option: B

2^{n^2-n}

Option B (

2^{n^2-n}

) is correct because a reflexive relation must contain n elements, leaving

n^2 - n

elements that can either be in the relation or not, resulting in

2^{n^2-n}

possible relations.

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\mathrm{Z}

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\mathrm{R}

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x

y

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S

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R