#624 Use principle of inclusion-exclusion to solve

Use the principle of inclusion-exclusion to solve - Math

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Use the principle of inclusion-exclusion to solve the following question. Explain the steps of your solution briefly to show how did you use the principle of inclusion-exclusion.

How many arrangements of x, x, x, y, y, y, z, z, are there such that no three consecutive letters in these arrangements are the same?

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