JEE Mains · Maths · STD 11 - 6. permutation and combination
Two players \(A\) and \(B\) play a series of games of badminton. The player, who wins \(5\) games first, wins the series. Assuming that no game ends in a draw, the number of ways, in which player \(A\) wins the series is __________.
- A 123
- B 124
- C 125
- D 126
Answer & Solution
Correct Answer
(D) 126
Step-by-step Solution
Detailed explanation
Player \(A\) wins the series if \(A\) wins \(5\) games before \(B\) wins \(5\) games. The series can last for a minimum of \(5\) games and a maximum of \(9\) games. If player \(A\) wins the series in exactly \(n\) games, then \(A\) must win the \(n\)-th game, and \(A\) must win…
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