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Counting Question Concerning Circular Arrangements
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[QUOTE="UltimateSomni, post: 5461706, member: 331787"] All right, I thought so. Well we did a similar one that my notes give an odd answer for. [h2]Homework Statement [/h2] "How many ways are there to seat 5 boys and a 5 girls at a round table so that boys and girls alternate? [h2]Homework Equations[/h2] For circular arrangements, (n-1)! possible arrangements [h2]The Attempt at a Solution[/h2] 1. Fix the first boy, arrange the other 4 around him... 4! 2. With the spots set, arrange the 5 girls... 5! 3. In total, there are 5!*4! ways But my notes say (5!)^2. Which one is right? [/QUOTE]
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Counting Question Concerning Circular Arrangements
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