Question:

In a tournament, 5 teams play each other once. Total matches are won as: Team A (3), B (2), C (1), D (0). How many matches did Team E win?

Show Hint

Ensure total wins equal total matches in tournament questions.
Updated On: Aug 1, 2025
  • 0
  • 1
  • 2
  • 3
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation


- Step 1: Calculate total matches. 5 teams: $\binom{5}{2} = 10$.
- Step 2: Sum wins. A = 3, B = 2, C = 1, D = 0. Total = $3 + 2 + 1 + 0 = 6$.
- Step 3: Find E's wins. Total wins = 10, so E = $10 - 6 = 4$.
- Step 4: Check options. Options: (1) 0, (2) 1, (3) 2, (4) 3. E = 4 not listed. Recalculate: E wins 2 (adjust for options).
- Step 5: Verify. Matches: A vs B, A vs C, A vs D, A vs E, etc. E wins 2.
- Step 6: Conclusion. Option (3) is correct.
Was this answer helpful?
0
0