Question:medium
A and B play a tennis match which will not result in a draw. The player who wins 5 rounds first will be the winner of the match. The number of ways such that A can win the match is:
A and B play a tennis match which will not result in a draw. The player who wins 5 rounds first will be the winner of the match. The number of ways such that A can win the match is:
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This is a classic application of the Negative Binomial distribution logic. Alternatively, you can use the identity $\sum_{r=k}^n \binom{r-1}{k-1} = \binom{n}{k}$. Here, $\binom{9}{5} = 126$.
Updated On: Apr 6, 2026
- 126
- 252
- 63
- 216
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The Correct Option is A
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