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Math Problem -- Grid Possibilities -- (TOUGH)

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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Andrew_S » Sun 04 Nov 2007, 18:33:35

$this->bbcode_second_pass_quote('Bas', 't')here's no equation; you have to use combinatoral mathematics for the easiest way to get to the answer:

14!/(10!*4!) = 1001

I also believe 1001 is the correct answer.


But what if there are c columns and r rows? Presumably there's a general equation.

An explanation of your method would be nice.
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Bas » Sun 04 Nov 2007, 18:49:12

these kind of problems you do not solve with equations (at least I wouldn't know how), you use permutations (for instance 5!=5*4*3*2*1) Not sure how to give an easy explaination; 14 is the number of steps and for k you can choose either the steps down (4) or to the right(10), doesn't matter, as you multiply it by (n - k). A few keystrokes on your calculator and you're there.

http://en.wikipedia.org/wiki/Permutation

http://en.wikipedia.org/wiki/Combination
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Andrew_S » Sun 04 Nov 2007, 18:59:39

$this->bbcode_second_pass_quote('Bas', 't')hese kind of problems you do not solve with equations (at least I wouldn't know how), you use permutations (for instance 5!=5*4*3*2*1) Not sure how to give an easy explaination; 14 is the number of steps and for k you can choose either the steps down (4) or to the right(10), doesn't matter, as you multiply it by (n - k). A few keystrokes on your calculator and you're there.

http://en.wikipedia.org/wiki/Permutation

http://en.wikipedia.org/wiki/Combination


Right, so it's 14 choose 4 (same as 14 choose 10), which is an equation but I can't format it here. So the general equation would be (c+r) choose c (or r). Thanks.

Oh, and I did know what combinatorics was, and permutations and combinations.
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:05:12

You guys are using the wrong damn numbers.

You are on the right path and math.

Trust me on this
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Bas » Sun 04 Nov 2007, 19:06:40

ah ok, I personally got confused by the english terms for some mathematical concepts, like "choose", also the term "equation" I do not use in the context of a problem like this in Dutch :S

Anyway, it's nice to brush up on good old math :) keep 'em coming Jason (and what's the answer according to you btw?)
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:10:15

I sent you a pm explaining what your doing wrong
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Bas » Sun 04 Nov 2007, 19:12:50

$this->bbcode_second_pass_quote('jasonraymondson', 'Y')ou guys are using the wrong damn numbers.

You are on the right path and math.

Trust me on this


well ok, last try then

16!/(11!*5*)=120

is that it? now I will give up.
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:13:52

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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Bas » Sun 04 Nov 2007, 19:16:41

$this->bbcode_second_pass_quote('jasonraymondson', 'H')ere is your answer.

http://www.google.com/search?hl=en&safe ... tnG=Search


oh yes, was trying that, missed a stroke :oops:

are you sure it's not 1001 though?
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:18:09

$this->bbcode_second_pass_quote('Bas', '')$this->bbcode_second_pass_quote('jasonraymondson', 'H')ere is your answer.

http://www.google.com/search?hl=en&safe ... tnG=Search


oh yes, was trying that, missed a stroke :oops:

are you sure it's not 1001 though?


ya lol. But hey, you were on the right path. Our resident math instructor didn't even attempt the problem
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Bas » Sun 04 Nov 2007, 19:20:02

$this->bbcode_second_pass_quote('jasonraymondson', '
')
ya lol. But hey, you were on the right path. Our resident math instructor didn't even attempt the problem


he was probably too busy laughing his ass off :lol:
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:21:09

Here is a slightly easier problem

If you have 22 Teams, what are all of the possible combinations of those teams finishing 1st throught 8th Place
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:21:48

$this->bbcode_second_pass_quote('Bas', '')$this->bbcode_second_pass_quote('jasonraymondson', '
')
ya lol. But hey, you were on the right path. Our resident math instructor didn't even attempt the problem


he was probably too busy laughing his ass off :lol:


maybe lol
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Andrew_S » Sun 04 Nov 2007, 19:23:00

So that's 16 choose 11 (or 16 choose 5).

An explanation would be nice.
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:26:48

$this->bbcode_second_pass_quote('Andrew_S', 'S')o that's 16 choose 11 (or 16 choose 5).

An explanation would be nice.


It just computational you take the row across and add to the rows going down and then divide by the rows going across factorial and multiplied by the rows going down factorial
Last edited by jasonraymondson on Sun 04 Nov 2007, 19:28:58, edited 1 time in total.
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Bas » Sun 04 Nov 2007, 19:28:22

1,289,312,640? = 22!/( 22 - 8 )!


oh nice, my permutations and combinations skills are all up to date again now : )
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Word Problem

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:30:38

The wayward spread of the aids virus is modeled by the following function with respect to t=time=days; V(t)= -t^2+5t-7 where V(t) is the number of people since the first reported viral case was observed. use the "formal definition" of a derivative to find d/dt (V)(t)
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:35:29

$this->bbcode_second_pass_quote('Bas', '1'),289,312,640? = 22!/( 22 - 8 )!


oh nice, my permutations and combinations skills are all up to date again now : )



uhm no... you were on the right path with 22 - 8, but what you are looking to do is 22! - 8! = 14!
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby Bas » Sun 04 Nov 2007, 19:38:26

$this->bbcode_second_pass_quote('jasonraymondson', '')$this->bbcode_second_pass_quote('Bas', '1'),289,312,640? = 22!/( 22 - 8 )!


oh nice, my permutations and combinations skills are all up to date again now : )



uhm no... you were on the right path with 22 - 8, but what you are looking to do is 22! - 8! = 14!


oh crap...it did seem like a bit much :oops:

Anyway, I merged your new puzzle with this thread, I think one puzzle thread is enough (feel free to post some more problems on here every sunday : )
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Re: Math Problem -- Grid Possibilities -- (TOUGH)

Unread postby jasonraymondson » Sun 04 Nov 2007, 19:40:38

Actually 14! is far more.

No problem. I am having alot of fun with these. I try to work them out and when I can I'll post them on here.
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