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race in least possible score..

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by ska7945 » Wed Aug 13, 2008 6:48 am
2) 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, or withdrawals. 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


answer D
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by Suyog » Wed Aug 13, 2008 10:05 am
n = 1, points earned = 6 - n = 6 - 1 = 5

n = 2, points earned = 6 - n = 6 - 2 = 4

n = 3, points earned = 6 - n = 6 - 3 = 3

n = 4, points earned = 6 - n = 6 - 4 = 2

n = 5, points earned = 6 - n = 6 - 5 = 1

Now say from team A one person got 5
say from team B one person got 4
and say from team C one person got 3

now we cant have anyone else performing on the race cause,
if we add any person in the team with 1 or 2 points it will result in either tie or points tally > 6
So the team with least possible score should be Team C with # points.

Choose(d).
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