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For a certain race, 3 teams were allowed to enter 3 members each.

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Re: For a certain race, 3 teams were allowed to enter 3 members each.  [#permalink]

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New post 11 Jun 2018, 20:06
VeritasPrepKarishma gmatbusters niks18 pushpitkc

Please see my comments in red

For a certain race, 3 teams were allowed to enter 3 members each.
This means 9 racers.

Quote:
A team earned 6-n points whenever one of its members finished in nth place, where 1<= n<=5, there were no ties, or withdraw.
Since n varies from 1 to 5, only when a member finishes in one of those positions, does he score something. That something is 6 - n. So person who finishes first, gets 5 points, person who finishes 2nd gets 4 points and so on till the person who finishes 5th gets 1 point. So in all, 5+4+3+2+1 = 15 points were given

But a team has only 3 players? Why do we care beyond score that more than 3 players get?

Quote:
If no team earned more than 6 points, what is the least possible score a team could have owned?
No team got more than 6 points. We have to find the minimum score of a team. Since the total is 15 and one score has to be minimized, we should try to maximize the other two scores. Maximum score is 6 so other two teams get 6 points each maximum (e.g. One team gets 5 + 1, another gets 4+2). Then the third team will get a minimum score of 15 - 2*6 = 3


q stem says: A team earned 6 – n points but n can take maximum value of 5, also all teams score UNIQUE scores at the end, since there are no ties.
I am not able to understand total score calculated by points scored by individual players from team.

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Re: For a certain race, 3 teams were allowed to enter 3 members each.  [#permalink]

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New post 11 Jun 2018, 22:03
adkikani wrote:
VeritasPrepKarishma gmatbusters niks18 pushpitkc

Please see my comments in red

For a certain race, 3 teams were allowed to enter 3 members each.
This means 9 racers.

Quote:
A team earned 6-n points whenever one of its members finished in nth place, where 1<= n<=5, there were no ties, or withdraw.
Since n varies from 1 to 5, only when a member finishes in one of those positions, does he score something. That something is 6 - n. So person who finishes first, gets 5 points, person who finishes 2nd gets 4 points and so on till the person who finishes 5th gets 1 point. So in all, 5+4+3+2+1 = 15 points were given

But a team has only 3 players? Why do we care beyond score that more than 3 players get?

Quote:
If no team earned more than 6 points, what is the least possible score a team could have owned?
No team got more than 6 points. We have to find the minimum score of a team. Since the total is 15 and one score has to be minimized, we should try to maximize the other two scores. Maximum score is 6 so other two teams get 6 points each maximum (e.g. One team gets 5 + 1, another gets 4+2). Then the third team will get a minimum score of 15 - 2*6 = 3


q stem says: A team earned 6 – n points but n can take maximum value of 5, also all teams score UNIQUE scores at the end, since there are no ties.
I am not able to understand total score calculated by points scored by individual players from team.


Hey adkikani

There are a total of 3 teams and 3 racers each. Since, we are concerned with the overall score of
the team, we take into account the points of all the players. The overall score of the team involves
the score of the individual players.

We are told that a team earned 6-n points whenever one of its members finished in nth place. It
has been given that 1<= n<= 5, so we are concerned about the first 5 positions overall.

So, the guy who finishes first will get 1st, gets 6-1 = 5 points. Similarly, the person who finishes 2nd
finishes 4 points and so on. Since we need to minimize the score of a team, the other two teams must
get a maximum score(which according to the question stem is 6).

Let's say
Team-A has the players who come 1st and 5th, get 5+1 or 6 points.
Team-B has the players who come 2nd and 4th, get 4+2 or 6 points.
Team-C will have the player who came 3rd and get 3 points.

Hope this helps you!
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Re: For a certain race, 3 teams were allowed to enter 3 members each.  [#permalink]

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New post 24 Nov 2018, 19:06
A detailed video explanation can be found here:
https://www.youtube.com/watch?v=sJX8a4XlkL8

The person who finishes 1st gets 5 points, the person who finishes 2nd gets 4 points, etc., etc... the 5th place finisher gets 1 point, and no other runner recieves any points.

When you see a math question that asks about minimums, immediately think about maximums, as well (and vice versa).

The total number of poins is 5 + 4 + 3 + 2 + 1 = 15

We're told that the maximum score for one team is 6 points. The minumum score would equal 15 minus the scores of TWO teams that earn a maximum score. The minimum = 15 - 6 - 6 = 3

Its important to check and make sure that two teams can indeed get six points. If you line up 1, 2, 3, 4, 5 you'll see that runners for one team could place 1st and 5th, runners for a second team could place 2nd and 4th, and a third team could get three points by having a runner who places 3rd. Answer D checks out.
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Re: For a certain race, 3 teams were allowed to enter 3 members each.  [#permalink]

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New post 27 Aug 2019, 21:43
VeritasKarishma wrote:
I3igDmsu wrote:
I am struggling with this one, it may be that I don't understand the question and information given.

If there are 3 teams of 3 members each (9 people total), wouldn't the possible finishes for each member of the teams be 1st, 2nd, 3rd,..., 9th?

How is it that 1 <= n <= 5 when there are 9 racers? Do racers 6 through 9 just get 0 points?


Yes, a racer gets points only when he/she ranks 1 - 5.

Break down the question to get a handle on it:
For a certain race, 3 teams were allowed to enter 3 members each.
This means 9 racers.

A team earned 6-n points whenever one of its members finished in nth place, where 1<= n<=5, there were no ties, or withdraw.
Since n varies from 1 to 5, only when a member finishes in one of those positions, does he score something. That something is 6 - n. So person who finishes first, gets 5 points, person who finishes 2nd gets 4 points and so on till the person who finishes 5th gets 1 point. So in all, 5+4+3+2+1 = 15 points were given

If no team earned more than 6 points, what is the least possible score a team could have owned?
No team got more than 6 points. We have to find the minimum score of a team. Since the total is 15 and one score has to be minimized, we should try to maximize the other two scores. Maximum score is 6 so other two teams get 6 points each maximum (e.g. One team gets 5 + 1, another gets 4+2). Then the third team will get a minimum score of 15 - 2*6 = 3


I arrived at the answer very easily... please let me know if my approach is right.

Question asked: ' least possible score a team could have earned'... so it is asking what a single team can earn and given that 3 members in a team is participating.

condition: in worst condition one can score --> 6-5=1
so 3 persons in a team.. 3*1=3
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Re: For a certain race, 3 teams were allowed to enter 3 members each.  [#permalink]

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New post 28 Aug 2019, 16:55
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Hi venkateshraviraj,

The prompt tells us that there are 3 teams with 3 players each - so up to 9 players could enter a race. However, ONLY the FIRST 5 to finish the race scored points. The amount of points rewarded is based on the given formula:

A team scores (6-N) points for each racer who finishes in Nth place (1 <= N <= 5).

1st = 5 points
2nd = 4 points
3rd = 3 points
4th = 2 points
5th = 1 point
6th - 9th place = 0 points

Total = 15 possible points

Thus, it's NOT correct to assume that the least points an individual could receive is 1... it's actually 0. If we had no other information to work with, then the least points that a team could earn would be 0 (if all 3 members finished in 6th - 9th place).

HOWEVER, we're also told that none of the 3 teams scored more than 6 points. There IS a way for two of the teams to score 6 points each (re: one team finishes 1st and 5th, one team finishes 2nd and 4th). Thus, the remaining 3 points (for 3rd place) would go to the final team - and the minimum number of points that could be earned would be 3.

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Re: For a certain race, 3 teams were allowed to enter 3 members each.   [#permalink] 28 Aug 2019, 16:55

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