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03-07-2012, 04:00 AM
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#91
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Registered User
Join Date: Sep 2011
Location: Monroe, MI
Posts: 62
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My fiancée would love to see more problems as she is the math whiz like yourself. She too teaches high school. I am horrible at this stuff. So any answer I post will be her answers. Lol
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03-07-2012, 04:24 AM
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#92
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Registered User
Join Date: Jun 2008
Location: Chelan, WA
Posts: 2,478
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So this math teacher asked us a high school problem and all of Jeepforum fubar'd it hardcore.
Thats awesome.
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03-07-2012, 05:59 AM
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#93
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Registered User
Join Date: Jan 2009
Location: Monroe, MI
Posts: 395
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Quote:
Originally Posted by MIjeep86
My fiancée would love to see more problems as she is the math whiz like yourself. She too teaches high school. I am horrible at this stuff. So any answer I post will be her answers. Lol
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Where does she teach? I grew up in Erie/Ida and graduated from SMCC.
__________________
98 5.9 ZJ: 4.5" IRO + 1" spacers w/IRO front adjustable long arms and rear adjustable CAs, IRO OTK steering, KOR steering brace, JKS quick disconnects, IRO belly skid, Bilsteins, 33x12.5x15 Duratracs on MT sidebiters, ARB bumper w/ WARN M8000 and 2 55W Hella Black Magic, JCR stage 2 sliders, Bushwackers, AEM CAI, KOR lightbar w/4 130W slimlites, Kolak Ignition Upgrade, 3" Kolak exhaust w/Flowmaster 44
In the garage: 8.8 w/4.10s and LSD, Artec 8.8 swap kit and truss
My 5.9 BUILD THREAD: http://www.jeepforum.com/forum/f197/...hread-1095938/
RIP TROY
RIP RATMONKEY
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03-07-2012, 07:27 AM
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#94
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Registered User
Join Date: Jun 2008
Location: Great Bend, KS
Posts: 579
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Quote:
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Originally Posted by ArrizX
So this math teacher asked us a high school problem and all of Jeepforum fubar'd it hardcore.
Thats awesome. 
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I believe it is more a discrete math problem than it is a probability one. Lots of stuff that I read while looking for the answer went way over my head.
What I would like to know is what are the odds that 000-004 leave randomly in numerical order. And what are the odds that any other 5 in the group leave in numerical order....
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03-07-2012, 07:57 AM
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#95
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hodophobic
Join Date: Jan 2006
Posts: 2,286
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Never mind. I missed the correction to the problem.
__________________
You can't argue with ignorance.
Quote:
Originally Posted by HurricaneRZA
JF taught me that the 2.5L, Ax-5 and D35 together are so powerful that angels weep when I shift into 4LO.
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Quote:
Originally Posted by mrblaine
The only thing a bicycle inner tube is good for, is tying a knot in the end of when you run out of condoms.
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03-07-2012, 11:18 AM
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#96
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Registered User
Join Date: Sep 2011
Location: Monroe, MI
Posts: 62
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Quote:
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Originally Posted by donha1mn
Where does she teach? I grew up in Erie/Ida and graduated from SMCC.
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She teaches in Southern California while finishing up her masters and then trying to find a job here in Michigan. My brother graduated from SMCC '07. Are you a teacher in MI?
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03-07-2012, 06:15 PM
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#97
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Registered User
Join Date: Jan 2009
Location: Monroe, MI
Posts: 395
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Quote:
Originally Posted by MIjeep86
She teaches in Southern California while finishing up her masters and then trying to find a job here in Michigan. My brother graduated from SMCC '07. Are you a teacher in MI?
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Ah I see. No, no teacher here. I graduated in '06, my sister in '08, and my brother in'09. I'm sure your brother knows at least one of us. What a small world.
__________________
98 5.9 ZJ: 4.5" IRO + 1" spacers w/IRO front adjustable long arms and rear adjustable CAs, IRO OTK steering, KOR steering brace, JKS quick disconnects, IRO belly skid, Bilsteins, 33x12.5x15 Duratracs on MT sidebiters, ARB bumper w/ WARN M8000 and 2 55W Hella Black Magic, JCR stage 2 sliders, Bushwackers, AEM CAI, KOR lightbar w/4 130W slimlites, Kolak Ignition Upgrade, 3" Kolak exhaust w/Flowmaster 44
In the garage: 8.8 w/4.10s and LSD, Artec 8.8 swap kit and truss
My 5.9 BUILD THREAD: http://www.jeepforum.com/forum/f197/...hread-1095938/
RIP TROY
RIP RATMONKEY
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03-07-2012, 06:37 PM
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#98
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Registered User
Join Date: Sep 2011
Location: Monroe, MI
Posts: 62
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Quote:
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Originally Posted by donha1mn
Ah I see. No, no teacher here. I graduated in '06, my sister in '08, and my brother in'09. I'm sure your brother knows at least one of us. What a small world.
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No doubt, Small world indeed. He prob does know one of y'all. He was a big wrestling doofus.
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03-07-2012, 08:36 PM
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#99
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Registered User
Join Date: Jan 2012
Location: Pickerington, Ohio
Posts: 125
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Quote:
Originally Posted by andy_mitch92
I believe it is more a discrete math problem than it is a probability one. Lots of stuff that I read while looking for the answer went way over my head.
What I would like to know is what are the odds that 000-004 leave randomly in numerical order. And what are the odds that any other 5 in the group leave in numerical order....
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Any group of five vehicles that end up first at the exit of the parking lot have different tag numbers, so they either arrive in ascending order or not. Chances for ascending order, out of all possible orders are 1 / 120.
I made the mistake, when I was given this problem, of starting with 1000 vehicles, calculating how many ways there were of them emerging in ascending order, then finding how many ways there were of them emerging in ANY order. I came up with about 30+ pages of teeny-font printouts telling me that there were (from memory) 8,250,291,250,200 ways. In any order, you have 1000*999*998*997*996 = 990,034,950,024,000. Dividing those numbers, we get ...
1 / 120
It took me a while to realize that the set of 1000 cars was FULL of potential subsets of five vehicles that might or might not leave the lot in ascending order, and that the 1 / 120 ratio applied to them all.
Hope that helps.
BTW, my 11th graders mostly got it after lots of clues - especially this one: go to WolframAlpha.com and enter 8250291250200. Look at the prime factorization, and see if you can notice anything. It opened my eyes, to be sure!
Good math-ing, folks!
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03-07-2012, 09:37 PM
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#100
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Web Wheeler
Join Date: Jan 2010
Location: South Central, Pennsylvania
Posts: 2,203
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03-07-2012, 11:45 PM
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#101
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Registered User
Join Date: May 2009
Location: 34*24'N, 119*42'W, SoCal
Posts: 3,893
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Quote:
Originally Posted by andy_mitch92
I believe it is more a discrete math problem than it is a probability one. Lots of stuff that I read while looking for the answer went way over my head.
What I would like to know is what are the odds that 000-004 leave randomly in numerical order. And what are the odds that any other 5 in the group leave in numerical order....
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The answer to the first question is 1/(1000x999x998x997x996) or 1/(1000!-995!) or 1/[n!-(n-k)!] when n=1000 and k=5. That's what I thought the corrected question was  :
The second question is interesting, indeed, especially if we don't specify ascending or descending order. I thought it was relatively simple, at first, but it's actually a surprisingly complex problem, I think.
If we do specify one or the other, then it's much easier:
(996/1000)x[1/(999x998x997x996)]=1/(1000x999x998x997) or 1/(1000!-996!) or 1/{n!-[n-(k-1)]!} when n=1000 (total number of plates) and k=5 (length of sequence)
I'm going to have to think about the non-specified case...
Edit: I think it's just 2/{n!-[n-(k+1)]!}, but I'm too tired to make the claim right now.
__________________
Gear-Calculator Stu Can Help You Part Names and Numbers Dealer Supplied Parts and ask for "Jeep Club" Prices
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Originally Posted by Ron Paul
“Liberty is lost through complacency and a subservient mindset. When we accept or even welcome automobile checkpoints, random searches, mandatory identification cards, and paramilitary police in our streets, we have lost a vital part of our American heritage. America was born of protest, revolution, and mistrust of government. Subservient societies neither maintain nor deserve freedom for long.”
― Ron Paul
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"Did you exchange your walk-on part in the war for a lead role in a cage?"
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