A baseball coach has more than 700 billion decisions to make before a game even starts, and in this resource individuals calculate the number of ways a coach can make a batting lineup. The first question places nine players out of nine. The second places nine players out of 25.

Concepts

combinations, permutations, probability

Show More Show Less

Additional Tags

math

Show More Show Less

Instructional Ideas

• Show a clip of a baseball team and lineup to engage your classes
• Have your classes start creating the different possible lineups until they get overwhelmed with the number of possibilities

Classroom Considerations

• If using as an assessment, students should be proficient with calculating both permutations and combinations

Pros

• Provides an answer key with worked-out solutions

Cons

• The concepts of a batting order may not be familiar to all students

Common Core

HSS-CP.B.9