Trivial Relation

Q.

Let $A=\left\{1,2,3\right\}$. The total number of distinct relations that can be defined over $A$ is

1. $2^9$

2. $6$

3. $8$

4. None of these

Q.

How many trivial relations can be formed on a set which has 64 elements?

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Q.

A trivial relation on a set A has the least number of elements.

1. True

2. False