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Math Help - Number of ways to climb 11 stairs if you can climb 1 or 2 stairs every time

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    Number of ways to climb 11 stairs if you can climb 1 or 2 stairs every time

    Hi,

    I have a math unit test on combinatorics and I couldn't solve this problem. Please help!

    Thanks in advance
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  2. #2
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    Re: Number of ways to climb 11 stairs if you can climb 1 or 2 stairs every time

    Quote Originally Posted by verasi View Post
    I have a math unit test on combinatorics and I couldn't solve this problem. Please help!

    Here are the possibles:
    \begin{array}{*{20}{c}}5&{twos}&{}&1&{one}\\4&{two  s}&{}&3&{ones}\\3&{twos}&{}&5&{ones}\\2&{twos}&{}&  7&{ones}\\1&{two}&{}&9&{ones}\\0&{twos}&{}&{11}&{o  nes}\end{array}

    For example, we can arrange 4 twos and 3 ones in \frac{7!}{4!\cdot 3!} ways.

    Now you do each and add.
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