# Patriotic Pennants

**Discrete Mathematics**Level 2

Bob has several pennant flags, each of which is either red, white or blue. To celebrate his national pride in the upcoming Olympics, he wants to string together 9 pennant flags, such that each of the colors is represented at least once, and no two consecutive flags have the same color.

How many different strings of 9 flags can Bob create?

**Note**: The string is an arrangement of 9 flags from left to right. 2 strings are different if the arrangements of the colors of those 9 flags are different.

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