Let S = 1, 2, 3, 4. Then the number of elements in the set f: S × S → S: f is onto and f (a, b) = f (b, a) ≥ a (a, b) S × S is _ _ _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jun, Evening shift · Q32

JEE Main 202228 Jun, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S

\times

\to

S : f is onto and f (a, b) = f (b, a)

\ge

\forall

(a, b)

\in

\times

S } is ______________.

Your answerType your answer. Integers and decimals are accepted.