Combinatorics › Permutations and arrangements › Arrangements of letters

Seven-letter good words

High school · ●●○○○ 20 pts

Define a good word as a sequence of letters that consists only of the letters AA, BB, and CC (some of these letters may not appear in the sequence), and in which AA is never immediately followed by BB, BB is never immediately followed by CC, and CC is never immediately followed by AA. How many seven-letter good words are there?

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counting with restrictionsrecurrence relations