Last visit was: 19 Jul 2024, 23:23 It is currently 19 Jul 2024, 23:23
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# In a round-robin tournament with 6 teams, each team plays one game aga

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94421
Own Kudos [?]: 642412 [8]
Given Kudos: 86332
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8009
Own Kudos [?]: 4243 [1]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Senior Manager
Joined: 13 Feb 2018
Posts: 377
Own Kudos [?]: 390 [2]
Given Kudos: 50
GMAT 1: 640 Q48 V28
Manager
Joined: 27 Oct 2017
Posts: 59
Own Kudos [?]: 19 [0]
Given Kudos: 69
Re: In a round-robin tournament with 6 teams, each team plays one game aga [#permalink]
Manager
Joined: 05 Oct 2017
Posts: 90
Own Kudos [?]: 41 [2]
Given Kudos: 103
Location: India
GMAT 1: 710 Q50 V35
Re: In a round-robin tournament with 6 teams, each team plays one game aga [#permalink]
2
Kudos
arorni wrote:

There are 6 teams and each team plays 5 matches, now think like this
Team A - played 5, won 5.
Team B - played 5, won 4 (lost 1 to A)
Team C - played 5, won 3 (lost 2 to A and B)
Team D - played 5, won 2 (lost 3 to A, B and C)
Team E - played 5, won 1 (lost 4 to A, B, C and D)
Team F - played 5, won 0 (lost 5 to all teams)

Thus, maximum number of teams to win - 5.

Hope it helps.
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19175
Own Kudos [?]: 22679 [2]
Given Kudos: 286
Location: United States (CA)
Re: In a round-robin tournament with 6 teams, each team plays one game aga [#permalink]
1
Kudos
1
Bookmarks
Bunuel wrote:
In a round-robin tournament with 6 teams, each team plays one game against each other team, and each game results in one team winning and one team losing. At the end of the tournament, the teams are ranked by the number of games won. What is the maximum number of teams that could be tied for the most wins at the end on the tournament?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Since 6C2 = 15, the 6 teams will play 15 games in total. Since each game results 1 team winning and 1 team team losing, the sum of wins and loses is 15 + 15 = 30. For example, if no teams have the same number of wins and loses, then the 6 teams have W-L records as 5-0, 4-1, 3-2, 2-3, 1-4 and 0-5. As you can see, if you add up all these numbers, the sum is 30.

We see that 30/6 = 5, however, we can’t have all 6 teams to have the same W-L records. That is, they can’t have all have 5-0, 4-1, or 3-2 W-L records. On the other hand, we can let the team with the worst W-L record be 0-5 and for each of the 5 remaining teams to have W-L records as 3-2.

Non-Human User
Joined: 09 Sep 2013
Posts: 34041
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: In a round-robin tournament with 6 teams, each team plays one game aga [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: In a round-robin tournament with 6 teams, each team plays one game aga [#permalink]
Moderator:
Math Expert
94421 posts