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Updated on: 02 Oct 2023, 12:31
Originally posted by Sajjad1994 on 22 Feb 2020, 11:04.
Last edited by BottomJee on 02 Oct 2023, 12:31, edited 2 times in total.
Last edited by BottomJee on 02 Oct 2023, 12:31, edited 2 times in total.
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Teams
Remaining: 2 Rounds
Completed: 5
Remaining: 2 Rounds
Completed: 5
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Difficulty:
35%
(medium)
Question Stats:
72% (02:11) correct
28%
(02:37)
wrong
based on 473
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An intercollegiate basketball tournament is hosting playoffs with 320 players. Each team has 5 players and each team plays exactly one other team and either wins or loses. The winning team advances to the next round and the losing team is eliminated. No team or player drops out except by losing a game.
From the available options, select a number of tournament rounds and a number of teams such that after the specified number of rounds there will be a specified number of teams remaining in the tournament. Make only two selections, one in each column.
From the available options, select a number of tournament rounds and a number of teams such that after the specified number of rounds there will be a specified number of teams remaining in the tournament. Make only two selections, one in each column.
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Teams Remaining |
Rounds Completed |
Statements |
| 1 | ||
| 2 | ||
| 5 | ||
| 10 | ||
| 15 | ||
| 20 |
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Official Answer
Teams
Remaining: 2 Rounds
Completed: 5
Remaining: 2 Rounds
Completed: 5
22 Feb 2020, 11:53
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So here initially total number of teams are 320/5 = 64
So in round 1 64/2 = 32 matches will be played since after each of these 32 matches the loosing team will be eliminated so remaining would be 32
Subsequently in round 2- 32/2 = 16 matches will be played
in round 3- 16/2 = 8 matches will be played
in round 4- 8/2 = 4 matches will be played
in round 5- 4/2 = 2 matches will be played
After round 5- 2 teams will be remaining and 1 match will be played between them
Posted from my mobile device
So in round 1 64/2 = 32 matches will be played since after each of these 32 matches the loosing team will be eliminated so remaining would be 32
Subsequently in round 2- 32/2 = 16 matches will be played
in round 3- 16/2 = 8 matches will be played
in round 4- 8/2 = 4 matches will be played
in round 5- 4/2 = 2 matches will be played
After round 5- 2 teams will be remaining and 1 match will be played between them
Posted from my mobile device
17 Apr 2024, 04:54
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