Post subject: I need help with my math homework. Please help me.
Posted: Fri Sep 23, 2005 1:13 am
Got Some
Joined: Tue Mar 29, 2005 6:12 am Posts: 2279 Location: sd,ca
We have to do these retarded problem of the week every week, and we got this one where we have to find as many combinations as we can with this pattern. Here are the instructions:
Counting only paths that follow the lines and go downard or to the right, how man paths from A to D are possible? ( I drew this in Paint )
Can you guys think of a formula to finding the combination?
_________________ This just feels like spinning plates.
At point B you have 70. 2 from B to C. 20 from C to D.
The answer should be 70 * 2 * 20
I called my friend and asked him how Pascal's triangle relates to the equation, and he said something about squaring it to the 8th power. Over the phone, this went straight over my head. Could you help me understand how you got the answer to this?
_________________ This just feels like spinning plates.
Joined: Sun Oct 17, 2004 7:19 pm Posts: 39068 Location: Chapel Hill, NC, USA Gender: Male
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_________________ "Though some may think there should be a separation between art/music and politics, it should be reinforced that art can be a form of nonviolent protest." - e.v.
At point B you have 70. 2 from B to C. 20 from C to D.
The answer should be 70 * 2 * 20
I called my friend and asked him how Pascal's triangle relates to the equation, and he said something about squaring it to the 8th power. Over the phone, this went straight over my head. Could you help me understand how you got the answer to this?
Each "square" is a grid whos intersections represents a number on Pascal's triangle. The number of possible ways to get to any intersection is calculated by the number of possible ways to get to the intersection to the left plus the number of ways to get to the intersection above it. So, you can see the connection to Pascal's triangle already.
You can think of each "diagonal" as a row in Pascal's triangle. When you tilt the square 45 degrees so that each diagonal is horizontal, it might be easier to see visually. Basically, you have:
At point B you have 70. 2 from B to C. 20 from C to D.
The answer should be 70 * 2 * 20
I called my friend and asked him how Pascal's triangle relates to the equation, and he said something about squaring it to the 8th power. Over the phone, this went straight over my head. Could you help me understand how you got the answer to this?
Each "square" is a grid whos intersections represents a number on Pascal's triangle. The number of possible ways to get to any intersection is calculated by the number of possible ways to get to the intersection to the left plus the number of ways to get to the intersection above it. So, you can see the connection to Pascal's triangle already.
You can think of each "diagonal" as a row in Pascal's triangle. When you tilt the square 45 degrees so that each diagonal is horizontal, it might be easier to see visually. Basically, you have:
At point B you have 70. 2 from B to C. 20 from C to D.
The answer should be 70 * 2 * 20
I called my friend and asked him how Pascal's triangle relates to the equation, and he said something about squaring it to the 8th power. Over the phone, this went straight over my head. Could you help me understand how you got the answer to this?
Each "square" is a grid whos intersections represents a number on Pascal's triangle. The number of possible ways to get to any intersection is calculated by the number of possible ways to get to the intersection to the left plus the number of ways to get to the intersection above it. So, you can see the connection to Pascal's triangle already.
You can think of each "diagonal" as a row in Pascal's triangle. When you tilt the square 45 degrees so that each diagonal is horizontal, it might be easier to see visually. Basically, you have:
Joined: Tue Mar 29, 2005 6:12 am Posts: 2279 Location: sd,ca
I just said, " Well, the way I got the answer was I asked people that are smarter than me, and I believe them. " Heh. My friend's brother kind of explained it, that 1 + 1 is supposed to be coeffecients something involving ab and then the next line would be (ab)^1 and then 3rd would be (ab)^2, and he said that since the first box had 8 necessary moves, you'd move to the 8th row... something along those lines.
It's way over my little head heh Thanks for your help!
_________________ This just feels like spinning plates.
Joined: Sat Oct 16, 2004 10:51 pm Posts: 14534 Location: Mesa,AZ
SFP wrote:
I just said, " Well, the way I got the answer was I asked people that are smarter than me, and I believe them. " Heh. My friend's brother kind of explained it, that 1 + 1 is supposed to be coeffecients something involving ab and then the next line would be (ab)^1 and then 3rd would be (ab)^2, and he said that since the first box had 8 necessary moves, you'd move to the 8th row... something along those lines. It's way over my little head heh Thanks for your help!
Your friend's brother just confused me. What was he talking about?
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