Here are the results of a contest with 7 players: Team 1 was better than team(s)

Question

Here are the results of a contest with 7 players:

Team 1 was better than team(s): 3, 5, 7

Team 2 was better than team(s): 1, 3, 4, 5, 6

Team 3 was better than team(s): 5, 7

Team 4 was better than team(s): 1, 3, 7

Team 5 was better than team(s): 4, 7

Team 6 was better than team(s): 1, 3, 4, 5

Team 7 was better than team(s): 2, 6

Find a ranking of the 7 teams such that each team is better than the one ranked immediately after it (the first team is better than the second, the second is better thatn the third, etc.). There may be more than one correct answer.

Explanation / Answer

In the descending order:

1> 3, 5, 7...........(1)

2>1, 3, 4, 5, 6.......(2)

3>5,7 ...................(3)

4>1,3,7................(4)

5>4,7....................(5)

6>1, 3, 4, 5...........(6)

7>2,6....................(7)

from 1,3 and 5 we get: 1> 3>5>7........(a)

using 7 and a : 1> 3>5>7>2..........(b)

using a and b : 4>1> 3>5>7>2.........(c)

using 6 and c : 6>4>1> 3>5>7>2 first arrangement.

using 7 and 2: 7>2>6....................(p)

using 4 and 5: 5>4>7....................(q)

using m and n: 5>4>7>2>6.............(r)

using 1,6 and r : 5>4>7>2>6>1>3 second arrangement.

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