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Sets, Relations and Function - JEE Mathematics question (JEE Main 2026 (Online) 21st January Morning Shift)

JEE Main 2026 (Online) 21st January Morning ShiftQuestion 1
The number of relations, defined on the set $\{a,b,c,d\}$, which are both reflexive and symmetric, is equal to :
Sets, Relations and Function
Options for question 1, choose one

Solution

Diagonal pairs are forced; each of the $\binom42=6$ unordered off-diagonal pairs is in or out together. Count $=2^6=64$.

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