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hint:each of the 17 teams will play 16 games
means=== 16*17=272

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There are \(17\) teams. It requires \(2\) teams for game, so there will be \(\binom{17}{2} = 136\) games in total.
There are \(17\) teams. It requires \(2\) teams for a game, so there will be \(\binom{17}{2} = 136\) games in total.
are u sure???
familiar with handshake problem ? http://mathworld.wolfram.com/HandshakeProblem.html
ohh yes,
Can u tell me how to do graph
Call the teams with numbers and put them in a circle so that the graph looks neat |dw:1438552119794:dw|
Btw, those numbers are vertices and they represent the 17 teams.
team \(\color{blue}{1}\) plays one game with each of the 16 other teams, yes ?
cool,
so draw an edge between team \(\color{blue}{1}\) and each of the other 16 teams : |dw:1438552375693:dw|
each edge represents a "game" between the vertices it connects
Notice that in team \(\color{blue}{1}\) has played with 16 other teams, so there are 16 edges
thanks a lot, :)
thats not the complete graph, next you pretend that team 1 is not there, and draw edges from team 2 to remaining 15 other teams
yes i got it now
|dw:1438552756905:dw|
Notice that \[16+15+14+\cdots +3+2+1 = 136\]
thank you ll rate u
yw

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