Question
Asked Nov 5, 2019
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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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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

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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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