There are 10 football teams in a tournament and each team plays exactly 6 matches. How many matches will be played?
2007-09-07 21:42:10 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
30 !!
because : the first day, 10 teams do 5 matches ; the second day, 5 matches too, and so on.
Each team plays 6 matches or 6 days : 5 * 6 = 30 matches.
No ?
2007-09-07 22:18:45 · answer #1 · answered by Nestor 5 · 1⤊ 0⤋
There is a progression toward a number closer to 30 in this problem. If you use a table, you can exhaust each team one by one and when you add the numbers representing the matches left, the total progressively decreases. To explain, let's exhaust one team's plays. After 6 matches you are left with one team having zero plays left, 6 teams having 5 each, and three still at six plays left. Adding these numbers, you get 54 Plays. (6 plays done + 30 + 18). Not too drastically off the first impression of 60. Let's exhaust the next team, already at 5 plays left, by playing 5 more games. At 11 matches, you will have 2 teams at zero games left, 5 teams with 4 left and 3 teams at 6 left. Add these numbers. 11 + 20 + 18 = 49 matches left. I suppose an algebraic formula could be made, but a table used this way quickly and significantly drops the total matches from the expected 60 to 30 when all teams have played 6 each. It is probably simply because 2 teams have to play each match, so the total must be divided by 2 in the formula. 6 matches times 10 teams divided by 2 since it takes 2 to play each match.
If I do it the obvious, non-progressive way and eliminate each team with the one directly below it on the list, using the initial 6 games left which is given in the problem, and having just 2 teams play their 6 together, then I get 5 sets of 6 games each, which is of course 30.
2007-09-08 17:21:43 · answer #2 · answered by Raymond R 2 · 0⤊ 0⤋
obviously, 60
1team played 6 matches
10 teams played 6*10=60 matches.
2007-09-08 05:04:24 · answer #3 · answered by mastermind 2 · 0⤊ 0⤋
There will be 5 matches each day and so each team has to play 6 days in order to complete 6 games. Therefore, 5 matches per day for 6 days makes it 30 matches in all.
Answer: 30 matches.
2007-09-12 02:12:32 · answer #4 · answered by Jun Agruda 7 · 3⤊ 0⤋
Um 30.
Because they are in a tournment, they play one team vs one team.
Hence 5 matches would go on.
As they would play 6 times, so 30?
2007-09-08 05:24:36 · answer #5 · answered by Anonymous · 0⤊ 0⤋
59
2007-09-08 04:51:24 · answer #6 · answered by Anonymous · 0⤊ 0⤋
6o..
6 plays for each 10 teams..
2007-09-08 04:52:49 · answer #7 · answered by jaycellann_20 2 · 0⤊ 0⤋
60?
2007-09-08 04:47:16 · answer #8 · answered by Billy A 4 · 0⤊ 0⤋
yeah i think its 60 too.
2007-09-08 04:50:07 · answer #9 · answered by THE GOOD NIGHT 6 · 0⤊ 0⤋
60? Isn;t it obvious?
2007-09-08 04:50:35 · answer #10 · answered by Super Answerer 3 · 0⤊ 0⤋