Question 1178796: 2. In a basketball league consisting of 12 teams, each team plays each of the other teams exactly twice. How many league games will be played?
Found 2 solutions by amarjeeth123, ikleyn:
Answer by amarjeeth123(569)   (Show Source):
You can put this solution on YOUR website! In a basketball league consisting of 12 teams, each team plays each of the other teams exactly twice.
The number of league games is a combination.
No of league games=(12C2)=(12!)/(2!*10!)=12*11/2=132/2=66
Answer=66 games.
Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
2. In a basketball league consisting of 12 teams, each team plays each of the other teams exactly twice.
How many league games will be played?
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Perhaps, tutor @amarjeeth123 misread the problem.
He gave the answer for the case, when the teams play only O N C E each with the others.
For this understanding, his answer  =  = 6*11 = 66 is correct.
But if the teams play T W I C E each with the others, then this number, 66, must be DOUBLED.
So, the CORRECT ANSWER is 66*2 = 132 in this problem.
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Solved, answered, explained and completed.
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