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Math Help - Permutation and Combination

  1. #1
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    Permutation and Combination

    Can someone explain the basic difference between permutation and combination?

    Are there a formula(s) to know?

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  2. #2
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    Quote Originally Posted by magentarita View Post
    Can someone explain the basic difference between permutation and combination?
    Permutations are order driven: the number of ways to form a queue.
    Combinations are content driven: the number of ways to form a collection.


    Quote Originally Posted by magentarita View Post
    Are there a formula(s) to know?
    P\left( {N,k} \right) = \frac{{N!}}{{\left( {N - k} \right)!}} = N(N - 1)(N - 2) \cdots (N - k + 1)

    C(N,k) = {{N} \choose {k}}= \frac{{N!}}{{k!\left( {N - k} \right)!}}
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  3. #3
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    great notes

    Quote Originally Posted by Plato View Post
    Permutations are order driven: the number of ways to form a queue.
    Combinations are content driven: the number of ways to form a collection.



    P\left( {N,k} \right) = \frac{{N!}}{{\left( {N - k} \right)!}} = N(N - 1)(N - 2) \cdots (N - k + 1)

    C(N,k) = {{N} \choose {k}}= \frac{{N!}}{{k!\left( {N - k} \right)!}}
    Thank you for the great formulas and definitions.
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