document.write( "Question 1186574: In a certain men's tennis tournament, two finalists, A and B, are competing for the title, which will be awarded to the first player to win four sets. In how many different ways can the match be completed?
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Algebra.Com's Answer #817493 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "(1) A winning in 4 sets:

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\n" ); document.write( "number of ways: 1

\n" ); document.write( "(2) A winning in 5 sets:

\n" ); document.write( "(AAAB) in some order, followed by A
\n" ); document.write( "number of ways: \"4 choose 1\" = 4

\n" ); document.write( "(3) A winning in 6 sets:

\n" ); document.write( "(AAABB) in some order, followed by A
\n" ); document.write( "number of ways: \"5 choose 2\" = 10

\n" ); document.write( "(4) A winning in 7 sets:

\n" ); document.write( "(AAABBB) in some order, followed by A
\n" ); document.write( "number of ways: \"6 choose 3\" = 20

\n" ); document.write( "Total number of ways for A to win: 20+10+4+1=35

\n" ); document.write( "Total number of ways for B to win (by symmetry): 35

\n" ); document.write( "ANSWER: 35+35=70 ways to complete the match

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