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Teams A and B play in a tournament. The first team to win three games wins the tournament. Find the number n of possible ways the tournament can occur.

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S=\{AAA, AABA, AABBA, AABBB,

ABAA, ABABA, ABABB,ABBAA,

ABBAB, ABBB, BAAA,BAABA,

BAABB, BABAA, BABAB, BABB,

BBAAA, BBAAB,BBAB, BBB\}

n=20

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Question ID: mtid-5-stid-8-sqid-551-qpid-436