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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Sample space

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

$ABAA, ABABA, ABABB,ABBAA,$

$ABBAB, ABBB, BAAA,BAABA,$

$BAABB, BABAA, BABAB, BABB,$

$BBAAA, BBAAB,BBAB, BBB\}$

$n=20$

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