Art of Problem Solving: Counting Objects in a Circle Part 2

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Art of Problem Solving's Richard Rusczyk explores counting the number of ways to arrange objects around a circle when the circle can be flipped over.
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0:55 lol "warning to other keys".

alexander_liu_
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How can I e-mail you Richard if I think know what the silver mystery key is for?

MagicPrezident
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I'm wondering how his hands aren't sticky...

hansenhe
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"I have more!" Pulls out 10 keys😳

cavetivitic
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At 2:22 you say:
"Now _n!_ is just _(n*n-1)!_, so we can cancel out the n's there..."

Why is _n! = (n*n-1)!_ ? Can someone explain.

jnxmaster
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Do you know how I can find the no of arrangements in. A circle, I the objects are repeated?

samarahassranah
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i just keep repetedly watch 12:34 of the video

unimiaw