**Title**

Buy Me Some Peanuts And Crackerjacks (Jill Long)

**Goals**

Students will explore the concepts of permutation, combination, and probability.

**Abstract**

This activity allows the student to work with the concepts of permutation, combination, and probability in a familiar setting. Students will be able to decide which counting technique is appropriate for each individual setting.

**Problem Statement**

This activity doesn't need much set-up. You could talk about Coors Field and the Rockies and get a little discussion going with the students who have been there, etc. This activity could be used as an introduction to see if they can come up with a sufficient answer, or it could be used as a quick practice to review.

**Instructor Suggestions**

1) Discuss problem statement with class as a whole.

2) Have them work in pairs or in groups, depending on the goal of the activity. Is it a discovery type of activity or a review?

3) Just let them work without much guidance, or without giving them many hints.

4) Have groups present their strategies to the class.

**Materials**

**Time**

intro ( ~5 min), work time (10-20 min), presentations (5-10 min)

**Mathematics Concepts**

*Discrete Mathematics Concepts*

permutation, combination, probability, addition principle, factorial, mutually exclusive events

*Related Mathematics Concepts*

probability

**NCTM Standards Addressed**

Problem solving, communication, reasoning, connections, algebra, probability, discrete mathematics

**Colorado Model Content Standards Addressed**

Algebraic Techniques (2), Problem Solving Techniques (5), Linking Concepts and Procedures (6)

**Curriculum Integration**

There seems to be a unit or mention of probability in every high school math class. It could be used when discussing permutations and combinations. It is probably too simple of a task to use as a problem of a week in any class above geometry.

**Further Investigation**

Many other questions could have been asked here. For instance, what happens if three people go to get drinks, etc. instead of two?

**Variations/Comments
**

**References/Resources**

__Algebra 2 and Trigonometry.__ (1991) McDougall Littell & Company.

Crisler,N., Fisher, P., & Froelich, G. (1994). __Discrete mathematics through applications.__ New York: W.H. Freeman and Company.