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?

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 4^{th} or 5^{th} or 6^{th} or 7^{th} 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:

Step 3

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

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