Permutation vs. Combination

Permutation vs. Combination

Basic Concepts: Organizing outcomes, Probability of independent events, Simplifying rational expressions and restrictions, Solving rational equations

Lessons

- permutation: nPr = number of arrangements of "r" items taken from a set of "n" distinct items (order matters!!) = n!(n−r)!\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!(n−r)!r!\frac{{n!}}{{\left( {n - r} \right)!\;\;r!}}
  • 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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47.
Permutations and Combinations
47.1
Fundamental counting principle
47.2
Factorial notation
47.3
Path counting problems
47.4
Permutation vs. Combination
47.5
Permutations
47.6
Combinations
47.7
Problems involving both permutations and combinations
47.8
Pascal's triangle
47.9
Binomial theorem
ACCUPLACER Test Prep
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