Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
0% (00:00) correct
0% (00:00) wrong based on 0 sessions
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, or withdraw. If no team earned more than 6 points, what is the least possible score a team could have owned?
if both teams earned 6 the last team would earn the least.
Since 6 is the limit, and the total points awarded is 15, then 6+6+3=15. if one scored 5, it would be 6+5+4, and the least score would be 4, and vice versa, so that if both teams score 6 you get the least possible score for the last team
Consider a team member comes last gets last point, that will be 5 in our case, the team will earn 6-5 = 1 point, Similarly the minimum possibility is that the team lasted in all the 3 events. so 3* 1 = 3 points is the minimum.
If this answer is not in OA, then we need to substitite with different combinations.
I am struggling with this one, it may be that I don't understand the question and information given.
If there are 3 teams of 3 members each (9 people total), wouldn't the possible finishes for each member of the teams be 1st, 2nd, 3rd,..., 9th?
How is it that 1 <= n <= 5 when there are 9 racers? Do racers 6 through 9 just get 0 points?
Yes, a racer gets points only when he/she ranks 1 - 5.
Break down the question to get a handle on it: For a certain race, 3 teams were allowed to enter 3 members each. This means 9 racers.
A team earned 6-n points whenever one of its members finished in nth place, where 1<= n<=5, there were no ties, or withdraw. Since n varies from 1 to 5, only when a member finishes in one of those positions, does he score something. That something is 6 - n. So person who finishes first, gets 5 points, person who finishes 2nd gets 4 points and so on till the person who finishes 5th gets 1 point. So in all, 5+4+3+2+1 = 15 points were given
If no team earned more than 6 points, what is the least possible score a team could have owned? No team got more than 6 points. We have to find the minimum score of a team. Since the total is 15 and one score has to be minimized, we should try to maximize the other two scores. Maximum score is 6 so other two teams get 6 points each maximum (e.g. One team gets 5 + 1, another gets 4+2). Then the third team will get a minimum score of 15 - 2*6 = 3 _________________