<p>I got this question right but I'm not sure if my reasoning is sound.
In a volleyball league with 4 teams, each team plays exactly 2 games with each of the other3 teams in the league. What is the total number of games played in this league?</p>
<p>I used 4 C 2 + 4 C 2 =12 which is the correct answer. Is this the correct explanation? Can someone please explain it better.
Thanks</p>
<p>You could just make up 4 teams and write out the schedule based on the rules, which does give you 12 total match-ups.</p>
<p>Correct answer.
You could use a elementary form of permutations.
2+2+2 (number of games first team plays with rest three)
+2+2 (number of games second team plays with rest two; it has already played 2 with team 1)
+2 (number of games third team plays with fourth team; it has already played 2 with team 1 and team 2)
= 12 (total games played)
So yes, explanation/logic/concept in the brackets ^_^</p>
<p>Thanks guys. That clarified it.</p>