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In a board game, players must place colored tiles in a single row. There are red 1 1 tiles, yellow 2 1 tiles, blue 2

In a board game, players must place colored tiles in a single row. There are red 1 1 tiles, yellow 2 1 tiles, blue 2 1 tiles, purple 3 1 tiles, and green 3 1 tiles. Let C(n) be the number of different n 1 colored rows that can be created using these tiles. Find a recurrence for C(n) and explain in words why C(n) satisfies this recurrence.

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