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Old Jul 30, 2005, 07:49 AM // 07:49   #1
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Default So, there's 9 judges in a room...(math problem)

They all shake hands with each other once. How many pairs of hands were shaken?


This is a question I need to figure out before next Tuesday. Now, me being extremely lazy, doesn't wanna work it all out on paper. But I have thought about it and I think the answer is 44 pairs of hands.

Because 9 + 8 + 7 etc is 44. Reasoning behind that is each time one shakes the others hand, their options decrease by one. Then when you're left with one person, he's already shaken everyone elses hands, so you don't count him.

Can anyone verify this for me?
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Old Jul 30, 2005, 07:53 AM // 07:53   #2
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let me think if you say that 1 shakes hands to them al the other ones have 1 less and so on and so on thats what i think but im not math-wiskid
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Old Jul 30, 2005, 08:02 AM // 08:02   #3
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Me thinks 72.

If there's 9 judges, they're all going to shake hands with all the others. So you've got 9 judges shaking hands with 8 other people, 9 x 8 = 72

Unless I'm just a dumbass.

Unless then you're going to count the pairs only once, in which case it'd be...something else.

Ok now me thinks 36.



That's me little sketch, basically you just do lines from one judge to everyone, count the number of lines, write it down, then cross him out, then draw lines from another judge to all other judges except the one crossed out, write down the number of lines, then cross him out, repeat the process.

You end up with 8, 7, 6, 5, 4, 3, 2, 1. Add them together and ye get 36 me thinks 'eh?

I think that's it. Unless I'm just a dumbass.

Yeah, me thinks it's 36. Counted the lines while removing and continuing without repeating.

Last edited by PieXags; Jul 30, 2005 at 08:14 AM // 08:14..
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Old Jul 30, 2005, 08:15 AM // 08:15   #4
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wow pieXags you take that way to serious

ooh and pieXags your guild can i join? i can look for some european active players to join
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Old Jul 30, 2005, 08:17 AM // 08:17   #5
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I don't take it to seriously, I saw a problem and wanted to try and solve it. Even though I hate math, I respect it almost as a form of art.

I'll PM ye about the guild.
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Old Jul 30, 2005, 08:19 AM // 08:19   #6
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k ty in the forum or ingame because im not gonna be online that much today because my little pissing bro is trying to get thunderhead keep done with my warrior
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Old Jul 30, 2005, 09:36 AM // 09:36   #7
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Since there are 9 judges, if you take the perspective of one of them, he can only shake hands with 8 others. After the first one, each subsequent judge's options are reduced by one because of the judges you've counted already.

So the answer is 8+7+6+5+4+3+2+1 = 36
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Old Jul 30, 2005, 04:07 PM // 16:07   #8
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Quote:
Originally Posted by Zrave
Since there are 9 judges, if you take the perspective of one of them, he can only shake hands with 8 others. After the first one, each subsequent judge's options are reduced by one because of the judges you've counted already.

So the answer is 8+7+6+5+4+3+2+1 = 36
i came up with the same answer. after all, you cant shake your own hand (well you could but thats kinda ......odd)
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Old Jul 30, 2005, 04:17 PM // 16:17   #9
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i was gonna try to help seeings how i jus finished statisctics.. so i pulled out the old note book.. found the page with the notes on it and got a headache.. now i remember why i hated stt..... anyway..... yea i think 36 is right, just based on the way the math was done, theres a statistical term for that... it's even got its own lil symbol..... not that i canr emember what it is now... jeeze two months away fro the class and my head retains NOTHING
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Old Jul 30, 2005, 04:20 PM // 16:20   #10
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If you want a formula for it it goes something like this;

(n(n-1))/2

So

(9(8))/2 = 36
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Old Jul 30, 2005, 05:13 PM // 17:13   #11
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Sweet, I was so right. I feel wicked smart now.
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Old Jul 30, 2005, 05:16 PM // 17:16   #12
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The answer is zero, you don't shake a pair of hands, you only shake one of the person's hands.
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Old Jul 30, 2005, 05:29 PM // 17:29   #13
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The question isn't how many pairs of hands you shook, it's how many pairs of hands were shaken, period.
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Old Jul 31, 2005, 01:30 AM // 01:30   #14
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I think it is 36.

Last edited by PippinTook; Jul 31, 2005 at 01:32 AM // 01:32..
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Old Jul 31, 2005, 02:56 AM // 02:56   #15
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I think you worded the question wrong or something.

If they only use their right hands to shake hands, then only 9 hands were used no matter how many times they shook hands with it, thats the maximum number of hands they used. You ask how many PAIRS, well a pair is 2 so then you could say 4 and 1/2 pairs. If you mean each person's pair of hands (right and left) you could say 0, unless they used their left hands... in which case it'd be 9 pairs.

Are you sure it doesn't ask how many times were hands shaken in total? Phraseology could (gored engine) a solution up. The answer they MAY be looking for is 35.

Double check your question.

Last edited by Brooke Lyn; Jul 31, 2005 at 03:05 AM // 03:05..
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Old Jul 31, 2005, 09:02 AM // 09:02   #16
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Nice ass
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Old Jul 31, 2005, 09:26 AM // 09:26   #17
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Well each judge can only shake the other judges hand once, then he moves onto the next one.

So they're all shaking hands with one another but can't shack the same judges hand twice.

And a pair of hands is just the two judges hands who clasped.
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Old Jul 31, 2005, 09:36 AM // 09:36   #18
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i think you shook 4 1/2 PAIRS, but if you shook everyones one hand it is 36
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Old Jul 31, 2005, 03:53 PM // 15:53   #19
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Use kiss one another's cheeks instead,less confusing~~~
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Old Jul 31, 2005, 03:59 PM // 15:59   #20
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Well it's a night college class and the teacher said that this would be on the test.

Now, it's a government test, so why we have math on it, I don't know. But that's where the judge part comes in.
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