Aspire Faculty ID #13714 · Topic: JAMIA MILLIA ISLAMIA MCA 2022 · Just now
JAMIA MILLIA ISLAMIA MCA 2022

In a unique hockey series between India & Pakistan, they decide to play on till a team wins 5 matches.
The number of ways in which the series can be won if no match ends in a draw is:

Solution

To win, one team must reach 5 wins before the other. Total possible ways = $2 \times \sum_{k=0}^{4} \binom{4+k}{k} = 2(1 + 5 + 15 + 35 + 70) = 252$

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