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Unread 03-07-2012, 04:00 AM   #91
MIjeep86
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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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Unread 03-07-2012, 04:24 AM   #92
ArrizX
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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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Unread 03-07-2012, 05:59 AM   #93
donha1mn
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Quote:
Originally Posted by MIjeep86 View Post
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
Where does she teach? I grew up in Erie/Ida and graduated from SMCC.
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Unread 03-07-2012, 07:27 AM   #94
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Quote:
Originally Posted by ArrizX
So this math teacher asked us a high school problem and all of Jeepforum fubar'd it hardcore.

Thats awesome.
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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Unread 03-07-2012, 07:57 AM   #95
mike_dippert
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Never mind. I missed the correction to the problem.
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Unread 03-07-2012, 11:18 AM   #96
MIjeep86
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Quote:
Originally Posted by donha1mn

Where does she teach? I grew up in Erie/Ida and graduated from SMCC.
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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Unread 03-07-2012, 06:15 PM   #97
donha1mn
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Originally Posted by MIjeep86 View Post
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?
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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Unread 03-07-2012, 06:37 PM   #98
MIjeep86
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Quote:
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.
No doubt, Small world indeed. He prob does know one of y'all. He was a big wrestling doofus.
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Unread 03-07-2012, 08:36 PM   #99
IDRIS
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Quote:
Originally Posted by andy_mitch92 View Post
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....
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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Unread 03-07-2012, 09:37 PM   #100
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Unread 03-07-2012, 11:45 PM   #101
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Quote:
Originally Posted by andy_mitch92 View Post
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....
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.
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