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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2005 National Olympiad First Round
36
36
Part of
2005 National Olympiad First Round
Problems
(1)
P36 [Combinatorics] - Turkish NMO 1st Round - 2005
Source:
11/10/2013
n
n
n
wrestlers participate in a tournament such that any two wrestlers wrestle exactly once. After a match, the winner gets
2
2
2
points, the loser gets no point, and each wrestlers gets
1
1
1
point if a tie occurs. After the tournament finishes, the wrestler with highest points is the wrestler with lowest number of wins. What is the least value of
n
n
n
?
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5
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6
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<span class='latex-bold'>(A)</span>\ 5 \qquad<span class='latex-bold'>(B)</span>\ 6 \qquad<span class='latex-bold'>(C)</span>\ 7 \qquad<span class='latex-bold'>(D)</span>\ 8 \qquad<span class='latex-bold'>(E)</span>\ 9
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7
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9