A probability question i think

In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally upward and to the right. How many ways are there for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard?

Thanks in advance for helping me!

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  1. Each move advances either upward or rightward or both. If there are n diagonal moves, then there are 14-n up or right moves. So, there may be 0 to 7 diagonal moves, and the rest can be chosen in two ways.

    so, there are

    (0+2^14) + (1+2^12) + (2+2^10) + ... + (7+0) = 21872

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  2. ok thanks alot steve you really help alot

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  3. steve is wrong...

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  4. You are wrong

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  5. You guys....actually try to help out please.

    Here, make a chart that cascades to the upper-right-most square. Kinda like Pascal's Triangle.

    1............. 48639
    1...................
    1...................
    1...................
    1 7 25..............
    1 5 13 .............
    1 3 5 7 9...........
    1 1 1 1 1 1 1 1 1 1 1

    So the answer is 48639.

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  6. S_Dog is right, Steve is wrong!

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  7. thank you s_dog for helping

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  8. Thanks s_dog

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  9. There are literally more poeple saying 'thanks' than actually giving answers
    But yes thank you

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  10. i don't understand

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  11. all u people just put... and say oh this is the answer

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  12. and then everyone is like ur so smart and all like what **** is this

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  13. and you're sitting here talking to yourself to a question that was answered 6 years ago

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  14. and was, in fact, asked 7 years ago,
    and today it would be 8

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  15. Why do you guys cheat so much?

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  16. Exactly lol

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