Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.8

Using application-based problems, develop formulas for permutations, combinations, and combinations with repetition and compare student-derived formulas to standard representations of the formulas.

COS Examples

Example: If there are r objects chosen from n objects, then the number of permutations can be found by the product $[n(n-1) … (n-r)(n-r+1)]$ as compared to the standard formula $n!/(n-r)!$.

Unpacked Content

Knowledge

Students know:

  • How to use tree diagrams or other counting models .

Skills

Students are able to:

  • Calculate the number of permutations or combinations for a real-world context.

Understanding

Students understand that:

  • Permutation is an ordered selection of r distinct objects from a set of n objects.
  • A combination is a selection of a set of r distinct unordered objects from a set of n objects.

Vocabulary

  • Permutations
  • Combinations
ALSDE LOGO