Permutation vs. Combination

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Examples

Lessons

  1. a) How many ways can two prizes be awarded to a class of 5 students?
    • 1st prize = $100
    • 2nd prize = $5

    b) How many ways can two identical movie tickets be awarded to a class of 5 students?

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    Topic Basics
    - permutation: nPr = number of arrangements of "r" items taken from a set of "n" distinct items (order matters!!) = n!(nr)!\frac{{n!}}{{\left( {n - r} \right)!}}

    - combination: nCr = number of selections of "r" items taken from a set of "n" distinct items (order does NOT matter!!) = n!(nr)!    r!\frac{{n!}}{{\left( {n - r} \right)!\;\;r!}}