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There are, in a certain league, 20 teams, and each team face
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Updated on: 28 May 2014, 12:53
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There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season? A. 1900 B. 3600 C. 2400 D. 180 E. 5400 Kudos for the first who answers with the right answer
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Originally posted by Derek1988 on 06 Jan 2011, 08:13.
Last edited by Bunuel on 28 May 2014, 12:53, edited 1 time in total.
Renamed the topic, edited the question and options.



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Re: Team
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06 Jan 2011, 10:05
unfortunately, i went the long way. it took about 2:20 to do. since there are 20 teams, and each team plays the other team a total of 10 times, then the 1st team will play a total of 190 games (there are 19 other teams played 10 times each so 19*10 = 190), our second team will play a total of 180 games, our 3rd team will play 170....... adding all of these up, we get 1800. hopefully someone can post an answer that is shorter. i'm not the best with combinationtype problems. Master Bunuel might be able to provide a good explanation.
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Re: Team
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06 Jan 2011, 12:28
It should be 1900
1st team:190 2nd team:180 3rd team :170
Similarly the last team will play 0
therefore(190+180+170....10)
10(19+18+17+16....1)
10 (n(n+1)/2)=10(19*20/2)=1900



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Re: Team
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06 Jan 2011, 14:25
Derek1988 wrote: There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season? a) 1800 b) 3600 c) 2400 d) 180 e) 5400 Kudos for the first who answers with the right answer OA SHOULD be A but I don't get how Each possible pairing of 20 teams plays 10 times There are C(20,2) pairings So no of matches = C(20,2) * 10 = 190 * 10 = 1900
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Re: Team
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25 Feb 2011, 12:50
Derek1988 wrote: There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season? a) 1800 b) 3600 c) 2400 d) 180 e) 5400 Kudos for the first who answers with the right answer OA SHOULD be A but I don't get how Choose 2 teams out of 20 teams = 20C2 = 190 (sets that can be formed) Each set of team plays 10 games = 190 * 10 = 1900.



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Re: Team
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25 Feb 2011, 23:39
Should be 1900! Can the original poster please clarify the answer again and the source ?
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Re: Team
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26 Feb 2011, 00:49
I remember for such problems we perhaps need to divide the total number of games by 2, as two teams play each other, so isn't that true here, or am I missing something ? Regards, Subhash
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Re: Team
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28 May 2014, 12:40
Poster said "Kudos for the first who answers with the right answer" And all provided answers are wrong... where is the poster OMG.
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Re: Team
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28 May 2014, 12:58



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Re: There are, in a certain league, 20 teams, and each team face
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28 May 2014, 13:04
Thanks Bunuel, You are so fast.
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Re: There are, in a certain league, 20 teams, and each team face
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28 Sep 2019, 07:03
Derek1988 wrote: There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season?
A. 1900 B. 3600 C. 2400 D. 180 E. 5400
Kudos for the first who answers with the right answer one game with each team ; 20c2 ; 190 so 10 times ; 190*10 ; 1900 IMO A



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There are, in a certain league, 20 teams, and each team face
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Updated on: 12 Oct 2019, 23:48
Derek1988 wrote: There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season?
A. 1900 B. 3600 C. 2400 D. 180 E. 5400
Kudos for the first who answers with the right answer If each team were to play a game against the rest of the teams, we would have 20 * 19 amount of games in total. However, this results in each team facing each other twice since we counted both A faces B and B faces A. To eliminate the doublecounting, we divide that value by 2 to get 10*19 = 190 games played. Finally, we multiply that by 10 to get 1900 games in total for facing each other 10 times instead of once. Ans: A
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Re: There are, in a certain league, 20 teams, and each team face
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29 Sep 2019, 06:38
Solution Given• In a certain league, there are 20 teams, • Each team faces another team for a total of 10 times To find• The number of games to be played in the season. Approach and Working outFor one match, there must be two teams. • So, total match if only one match is played between two teams = 20 c2 = 190. • However, each team plays 10 matches between them. o So, total matches in the season = 190*10 = 1900 Hence, option A is the correct answer. Correct Answer: Option A
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Re: There are, in a certain league, 20 teams, and each team face
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