You are standing in the very corner of a 10 X 10 grid of dots. How many different ways are there to get to the opposite corner of the grid? You must travel through every node once, and only once. You cannot travel diagonally, and you may not go outside of the overall perimeter.
The example that I have given to you is the example that starts at very corner.
I have overlooked the question that mentions that it needs to start at very corner. I apologize of my mistake in this manner.
However, one has to know that we can start at any corner to move. This is due to any corner of the entire grids of dots is to be considered to be the very corner of the entire grids of dots. It could begin at any corner. As the question also does not mention it has to start from very left corner or very right corner, it could start from the very left hand corner or the very right hand corner or very top corner or very lowest corner. Not only that when it mentions the word, opposite, it does not mention whether it must be at the very corner to its opposite. Or in other words, it can end up in any point in the middle & that could give numerous solutions.
I am happy to chit chat to you. From your reply, I have the feeling that you have analytical mind too. I wish my words would not upset anybody since I am open-minded and I too like to make friends with those puzzles solvers and creators.
The reason that I point out my point of view is I need to express that there are numerous answers if we look in the question in another angle point of view.
I hope that anyone that reads the message could help us to figure it out how many ways to travel about if the question is looked in another angle point of view.
Thanks.
Edited on April 19, 2005, 10:57 am
Edited on April 19, 2005, 11:04 am
Solution
