Question 1186574
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(1) A winning in 4 sets:<br>
AAAA
number of ways: 1<br>
(2) A winning in 5 sets:<br>
(AAAB) in some order, followed by A
number of ways: "4 choose 1" = 4<br>
(3) A winning in 6 sets:<br>
(AAABB) in some order, followed by A
number of ways: "5 choose 2" = 10<br>
(4) A winning in 7 sets:<br>
(AAABBB) in some order, followed by A
number of ways: "6 choose 3" = 20<br>
Total number of ways for A to win: 20+10+4+1=35<br>
Total number of ways for B to win (by symmetry): 35<br>
ANSWER: 35+35=70 ways to complete the match<br>