What is the number of ways to color n objects with 3 colors


Problem1)

What is the number of ways to color n objects with 3 colors if every color must be used at least once?

problem2)

prove that for any three sets A,B,C ;
((AB) U (BA))^ C = ((A^C) U (B^C)) (A^B^C) ^ means intersection

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Algebra: What is the number of ways to color n objects with 3 colors
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