Debate Setup Count - Gambling and Probability

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Debate Setup Count

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07-19-2019 , 12:03 PM

statmanhal

Pooh-Bah

Join Date: Jan 2009 Posts: 4,987

The Democratic debate had 20 candidates to arrange over two days, 10 per day. There were 3 subgroups, 10 candidates, 6 candidates and 4. So for the 10 candidate group, 5 would be chosen randomly for day 1 and 5 chosen for day 2. Same idea for the other two subgroups.

Q1. How many total arrangements are possible, where days are included (i.e, Way x day 1 and same Way x day 2 are 2 arrangements)?

Q2. From a “strategic” viewpoint, should a candidate prefer day 1 or day 2?

Moderator: Q2 might seem off-topic, if so delete; but to me it’s somewhat analogous to discussing position advantage in poker.

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07-19-2019 , 12:27 PM

heehaww

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Join Date: Aug 2011 Posts: 5,081

Spoiler:

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07-19-2019 , 12:49 PM

statmanhal

Pooh-Bah

Join Date: Jan 2009 Posts: 4,987

At first look, I have no idea how heehaw got his answer but I bet he can explain it.

I think it would be interesting if others supplied methods and answers to illustrate how there often are many ways such problems can be solved.

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07-19-2019 , 01:00 PM

heehaww

Pooh-Bah

Join Date: Aug 2011 Posts: 5,081

Do you even pascal triangulate, bro? :P

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07-19-2019 , 01:04 PM

statmanhal

Pooh-Bah

Join Date: Jan 2009 Posts: 4,987

2nd look. Got it the old fashioned way.

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07-19-2019 , 02:26 PM

whosnext

Carpal \'Tunnel

Join Date: Mar 2009 Posts: 6,732

Quote:

Originally Posted by statmanhal

Moderator: Q2 might seem off-topic, if so delete; but to me it’s somewhat analogous to discussing position advantage in poker.

While it is true that 2+2 moderators are overly-officious basement-dwelling jerks (or so I have been told), the Probability Forum is akin to the Old Wild West where just about anything goes!

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07-19-2019 , 06:19 PM

statmanhal

Pooh-Bah

Join Date: Jan 2009 Posts: 4,987

From now on I'm might be referring to you as an (O^2)BDJ.

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