The number of reflexive relations of a set with four elements is equal to

^{16}

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^{12}

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^{8}

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^{4}

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Solution

The correct option is C 2 $^{4}$
Total number of reflexive relations in a set with n elements = 2 $^{n}$ Therefore, total number of reflexive relations set with 4 elements = 2 $^{4}$

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A = 3, 4, 5

A

n_{1}, n_{2}, n_{3}

n_{4}

n_{1} + n_{2} + n_{3} + n_{4}

How many of the following statements are wrong

1. A relation is said to be reflexive on set A if each element in A is related to itself.

2. Empty relation defined on a non- empty set is reflexive

3. We can define a reflexive relation on A x B, where A is not a subset of B.

4. In a reflexive relation, all the elements should be of the form (a,a) for all a from the set on which the relation is defined

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