Let A = {1, 2, 3}. The total number of distinct relations, that can be defined on A is 512.Group startsTrue or FalseTrue, unselectedFalse, unselected

To find the total number of distinct relations that can be defined on set A = {1, 2, 3}, we need to consider the power set of A. The power set of A is the set of all possible subsets of A, including the empty set and the set A itself.

Since A has 3 elements, the power set of A will have 2^3 = 8 elements. Each element of the power set represents a possible relation on A.

For example, the empty set {} represents the empty relation, where no elements of A are related to each other. The set A = {1, 2, 3} represents the full relation, where all elements of A are related to each other.

Therefore, the total number of distinct relations that can be defined on A is 8.

The statement "The total number of distinct relations that can be defined on A is 512" is false. The correct answer is 8.