GATE | GATE CS 1996 | Question 56

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 ~ 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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