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

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Manager
Joined: 05 Jul 2006
Posts: 196

Kudos [?]: 74 [0], given: 0

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

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18 Aug 2006, 12:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 - n points whenever one of its members finished in nth place, where 1<= n >=5. There were no ties, disqualifications, orwithdrawals. If no team earned more than 6 points, what is the least possible score a team could have earned?

A. 0

B. 1

C. 2

D. 3

E. 4

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Senior Manager
Joined: 14 Jul 2005
Posts: 402

Kudos [?]: 31 [0], given: 0

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18 Aug 2006, 12:50
Is is D i.e. 3 ?

Total points to give away = 5 + 4 + 3 + 2 + 1 = 15

If 2 teams got the max of 6 points each the minimum the last team would get would be 15 - 12 = 3.

Kudos [?]: 31 [0], given: 0

Intern
Joined: 20 Jun 2006
Posts: 30

Kudos [?]: 2 [0], given: 0

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18 Aug 2006, 13:07
I think 3

the scores of 9 players is: 5,4,3,2,1,0,0,0,0
*if n>=5 then the score is no longer 6-n....

if the highest score is 6
then remove 5,1
the second higest score: 4,3,2,0,0,0
again 6= 4,2,0

so the lowest score: 3,0,0 = 3
_________________

Winsome

Kudos [?]: 2 [0], given: 0

18 Aug 2006, 13:07
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