GATE CSE 1996 - Equivalence Classes | Relations GATE PYQs | Set Theory | Discrete Mathematics

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GATE CSE 1996 | Question: 8: https://gateoverflow.in/2760/gate-cse...
Let F be the collection of all functions f: {1, 2,3} → {1, 2, 3}. If f and g ∈ F, define an equivalence relation ~ by f ~ g if and only if f(3) = g(3).

a) Find the number of equivalence classes defined by ~.
b) Find the number of elements in each equivalence class.

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