Asked Nov 5, 2019

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?


Expert Answer

Step 1

It is given that the first player who win 4 sets will be awarded as winner of the tournament. The first person can be win 4 sets at 4th or 5th or 6th or 7th set. That is there should be at least 4 sets and a maximum of 7 sets.

Step 2

The four set match can be completed in two ways such as AAAA or BBBB.

The number of ways a five set match can be completed is given below:


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5 set match 2 x 5C =2 x 5 10

Step 3

The number of ways a six set match ca...


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6 set match 2 x 6C 2 x15 = 30


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