SOLUTION: 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?

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?
~~~~~~~~~~~~~~~~~~~~

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.

--------------

Solved, answered, explained and completed.

RELATED QUESTIONS
If there are 6 teams in the alpha league and 5 teams in the Beta league and if each team... (answered by jim_thompson5910)
In a basketball league of x teams of which every team plays every other twice, the total... (answered by ikleyn)
In a sports league of n teams in which each team plays every other team twice, the total... (answered by feliz1965)
There are x teams in a league and each team plays each other team twice, then the total... (answered by checkley71)
In a sports league of n teams in which each team plays every other team twice, the total... (answered by jim_thompson5910)
In a baseball league of 8 teams, how many games are needed to complete the schedule if... (answered by checkley79)
A basketball league has 90 games in a season. How many teams are there if each team plays (answered by venugopalramana)
If there are x teams in a league and each team plays every other team twice, the the... (answered by stanbon)
When all n teams in a league play every other team twice, a total of N games are played,... (answered by josmiceli)