Alex wants to cover a 30 by 30 board perfectly with 450 1 by 2 dominos.

irishCara

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Hi all, I found this site cos I was looking for a little help with a maths problem, its for my friend actually but I'd like to help him out, so I would appreciate any tips at all....thanks :)

Alex wants to cover a 30 by 30 board perfectly with 450 1 by 2 dominos. He also wants to ensure that he can trace a path between any 2 dominos that connect through at most N dominos. What is the minimum possible value of N which would allow Alex to form such a configuration?
 
Hi all, I found this site cos I was looking for a little help with a maths problem, its for my friend actually but I'd like to help him out, so I would appreciate any tips at all....thanks :)

Alex wants to cover a 30 by 30 board perfectly with 450 1 by 2 dominos. He also wants to ensure that he can trace a path between any 2 dominos that connect through at most N dominos. What is the minimum possible value of N which would allow Alex to form such a configuration?

Please share your work with us.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...217#post322217

We can help - we only help after you have shown your work - or ask a specific question (e.g. "are these correct?")
 
sorry about that

oh sorry about that ...I was just anxious to try get some help quickly, I must have joined the wrong site, as I said it was for my friend so I cant show any work, as I have no work to show, but thanks for replying. Is there a way to cancel registration or unsubscribe or do I need to do that?
 
...as I said it was for my friend so I cant show any work....
I'm sorry to hear that your friend didn't provide that information. Naturally, since you don't have all the information, trying to "help" through you won't likely assist your friend very much!

So please have your friend log in to your account and reply showing his work so far, so we can start work work with him. Thank you! ;)
 
The question is ambiguous. Is the path N through dominoes that are touching or blank spaces? Since 450 1 X 2 dominoes cover a 30 by 30 board completely, both have areas of 900. (15 dominoes across with the 2 dimension, 30 dominoes across with the 1 dimension. 15 X 30 = 450 dominoes) Could this be a trick question where N=0? No path through the dominoes?
 
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