JEE MATHEMATICS MCQ: SET THEORY

1 Easy

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Analyzing +4 | -1

If a set

A

contains n elements, then which of the following cannot be the number of reflexive relations on the set

A

View answer and explanation

Correct option: D

{2^{n + 1}}

The correct answer is

{2^{n + 1}}

because the number of reflexive relations on a set with n elements is

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

, and

{n^2} - n = n + 1

has no solution in N.

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2 a_1 a_2 a_3 \ldots . . a_{2006}

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S

a N=\{a n: n \in N: b N=\{n b: n \in N\}

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\}

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n

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

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C

4 \%

A

C

2 \%

A