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Question about a word problem?
I am in 6th grade at an online school, and answered the following test question and was marked wrong: There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played? I answered 36. Am I wrong? Why?
2 Answers
- ?Lv 410 years ago
it would be 18. because team A plays B, C, and D, thats 9 games. (3 and 3 and 3)
so team A already played their games and so far, their are 9 games played.
now team B plays C and D (they already played A, remember at the top) so now thats 6 games (3 and 3) so
9+6=15
now team C plays team D (they already played A and B at the top)
so now thats 15+3=18
what you did wrong is that you times 4*4*4, so some teams played themselves
i hope that wasnt too confusing...
- ?Lv 710 years ago
4 teams
3 games with other teams
_______________________
1st team ------- with 2nd,3rd,4th
2nd--------with 3rd,4th (already played with 1st; see above)
3rd---------with 4th (already played with 1st and 2nd; see above)
4th---------already played 3 games; see above
So total of 6 games are played.
Every team plays every other 3 times, so 3 * 6 = 18
►18 games are played in total.