AMC / AIME · Inclusion-Exclusion · Hard

Inclusion-Exclusion: Functions math that miss at least one value.

Unions without double-counting.

Try the problem

Functions [5]→[3][5]\to[3] that miss at least one value.

Hint and answer

Concept to use

Complements / derangements.

Hint

353^5 minus surjections.

Answer

150

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