State which of the following is total number of reflexive relations form set $A = {a, b, c}$ to set $B = {d, e}$ is

2^{6}

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2^{8}

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2^{4}

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2^{15}

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Solution

The correct option is A $2^{6}$
Number of reflexive relation from $A = [a, b, c]$ and $B = [d, e]$ is

$= 2^{n^{2} - n} = 2^{3^{2} - 3} = 2^{9 - 3} = 2^{6}$

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Similar questions

A = {a, b, c}

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

Let set A = {a, b, c, d} and set B = {4, 8, 16, 32). If the total number of relations from A to B is $2^{x}$ find the value of $\frac{(x)}{2}$ ?

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