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Study Guides > College Algebra CoRequisite Course

Summary: Review

Key Concepts

  • According to the Addition Principle, if one event can occur in [latex]m[/latex] ways and a second event with no common outcomes can occur in [latex]n[/latex] ways, then the first or second event can occur in [latex]m+n[/latex] ways.
  • According to the Multiplication Principle, if one event can occur in [latex]m[/latex] ways and a second event can occur in [latex]n[/latex] ways after the first event has occurred, then the two events can occur in [latex]m\times n[/latex] ways. This is also known as the Fundamental Counting Principle.
  • To determine how many permutations there are given [latex]n[/latex] distinct options,
    • Determine how many options there are for the first situation.
    • Determine how many options are left for the second situation.
    • Continue until all of the spots are filled.
    • Multiply the numbers together.

Licenses & Attributions

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  • College Algebra. Provided by: OpenStax Authored by: Abramson, Jay et al.. Located at: https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites. License: CC BY: Attribution.