The participants in a race consisted of 3 teams with 3 runners on each team. A team was awarded 6-n points if one of its runners finished in nth place where 1<=n<=5. If all of the runners finished the race and if there were no ties, was each team award at least one pont?
(1) No team was awarded more than a total of 6 points
(2) No pair of teammates finished on consecutive places among the top five places.
team 1 = 5+1
team 2 = 4+2
team 3 = 3+0
from ii: 1 2 1 2 1. so no team 3.