immanuelv
  • immanuelv
how many basketball games are played in a 10- team league if each team plays all other teams twice?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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nowhereman
  • nowhereman
More than I can count with my fingers.
immanuelv
  • immanuelv
:) but what is the answer?
nowhereman
  • nowhereman
You should count them. Of course systematically. Start by choosing one team.

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watchmath
  • watchmath
Here is the idea. Let say you have 4 teams instead of 10 and they are team A,B,C,D Team A played: 2,2,2 times with B,C,D Team B played: 2,2 times with C, D (the game with A is already counted above) Team C played : 2 times with D So in total there were 6+4+2 = 12 games

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