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The World Series in baseball continues until either the American League team or the National League team wins for games. How many different orders are

The World Series in baseball continues until either the American League team or the National League team wins for games. How many different orders are possible (e.g. ANNAAA means the American League team wins in six games) if the series goes a) four games? b) five games? c) six games? d) seven games?

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