Question: 2. Let A be an n-element set and let i, j, k E N with i + j + k = n. How many functions

2. Let A be an n-element set and let i, j, k E N with i + j + k = n. How many functions f: A -+ {0, 1, 2} are there for which all three of the below are satisfied: . Ka E A : f(a) = 0} = i . Ka E A : f(a) = 1}| = j . Ka E A : f(a) = 2}| = k

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