A relation on the set A = {1, 2, 3} is any subset of A × A. How many relations on A are both reflexive and symmetric? Count every such relation, including the smallest one, which contains only the pairs it is forced to contain.

MathematicsMediumHigh School (11–12)Functions and Calculus › Relations and Functions JEE Main

A relation on the set $A = \{1, 2, 3\}$ is any subset of $A \times A$ . How many relations on $A$ are both reflexive and symmetric? Count every such relation, including the smallest one, which contains only the pairs it is forced to contain.

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