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National and Regional Contests
Turkey Contests
National Olympiad First Round
2001 National Olympiad First Round
2
2
Part of
2001 National Olympiad First Round
Problems
(1)
P02 [Combinatorics] - Turkish NMO 1st Round - 2001
Source:
4/18/2014
Each of the football teams Istanbulspor, Yesildirek, Vefa, Karagumruk, and Adalet, played exactly one match against the other four teams. Istanbulspor defeated all teams except Yesildirek; Yesildirek defeated Istanbulspor but lost to all the other teams. Vefa defeated all except Istanbulspor. The winner of the game Karagumruk-Adalet is Karagumruk. In how many ways one can order these five teams such that each team except the last, defeated the next team?
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5
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7
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8
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9
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None of the preceding
<span class='latex-bold'>(A)</span>\ 5 \qquad<span class='latex-bold'>(B)</span>\ 7 \qquad<span class='latex-bold'>(C)</span>\ 8 \qquad<span class='latex-bold'>(D)</span>\ 9 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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5
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7
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8
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9
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None of the preceding