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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44.
Permutations and Combinations
44.1
Fundamental counting principle
44.2
Factorial notation
44.3
Path counting problems
44.4
Permutation vs. Combination
44.5
Permutations
44.6
Combinations
44.7
Problems involving both permutations and combinations
44.8
Pascal's triangle
44.9
Binomial theorem
ACCUPLACER Test Prep
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