<p>At a basketball tournament involving 8 teams, each team played 4 games with each of the other teams. How many games were played at this tournament?</p>
<p>I'll let you guys figure it out. I feel like the answer is wrong though. Thanks.</p>
<p>Is it 8C4 times 4?
112?</p>
<p>Well Kaplan says it is 8 times 4 times 4 like you said. (I think you meant 128). But I don’t think that’s right because doesn’t each team play 7 other teams? Therefore, you calculate the number of games for one team, which is 7 times 4. Then, the second team played 7 teams 4 times, but subtract 4 from the team we already counted…etc. I added this up to get 112.</p>
<p>O never mind I thought you meant 8 * 4* 4. Ya we’re right. Kaplan got it wrong then.</p>
<p>Ahh I see what Kaplan did. Becasue 7 times 4 = 28, which is the number of games 1 team plays. Then 28 times 4 because the total number of teams is 8, we have to divide 8 by 2 because those are the games that were the same</p>
<p>Team 1: Plays 2, 3, 4, 5, 6, 7, 8
Team 2: Plays 3, 4, 5, 6, 7, 8
Team 3: 4, 5, 6, 7, 8
Team 4: 5, 6, 7, 8
Team 5: 6, 7, 8
Team 6: 7, 8
Team 7: 8
Team 8: Done</p>
<p>So far we’ve got a total of 28 games. But this is done 4 times. 28 x 4 = 112</p>
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<p>Why do you think I have been repeating ad nauseam to avoid using the tests from PR, Kaplan, Barron’s, Gruber’s, and ALL others? </p>
<p>This is just an example out of many. And, fwiw, having errors is only a part of the problem with those synthetic tests.</p>