Lesson: Combination Mathematics • 12th Grade

In this lesson, we will learn how to use combination properties to solve problems and use combination to count possible outcomes.

Lesson Plan

Students will be able to

determine the difference between permutations and combinations, that is, that order is disregarded for a combination,
recall that ,
evaluate simple expressions involving combinations,
use combinations to solve counting problems (e.g., How many teams of 4 can be selected from a group of 20?),
find the value of an unknown in equations involving combinations, for example, or ,
link the fundamental counting principle and combinations.

Q1:

If , find the value(s) of .

Q2:

Evaluate .

Q3:

There are nine wrestlers in a school. In how many ways can a set of six wrestlers be chosen to represent the school at a competition?