1. Introduction of Combinatorics (MAT 142)
Counting

2. A nickel, a dime and a quarter are tossed.
Construct a tree diagram to list all possible outcomes.
Use the Fundamental Counting Principle to determine how many
different outcomes are possible.

3. Introduction of Combinatorics (MAT 142)
To fulfill certain requirements for a degree, a student must take one course each from the following groups:  health, civics, critical thinking, and elective.  If there are four health, three civics, six critical thinking, and ten elective courses, how many different options for fulfilling the requirements does a student have?

4. Introduction of Combinatorics (MAT 142)
Calculate each of the following 5!
8!*6!

5. Permutations and Combinations (MAT 142)
Formulas
permutation
combination
without replacement
and
order is important
without replacement
and
order is NOT important

6. Permutations and Combinations (MAT 142)
A group of ten seniors, eight juniors, five sophomores, and five freshmen must select a committee of four.
How many committees are possible if there must be one person from each class on the committee?

7. Permutations and Combinations (MAT 142)
A group of ten seniors, eight juniors, five sophomores, and five freshmen must select a committee of four.
How many committees are possible if there can be any mixture of the classes on the committee?

8. Permutations and Combinations (MAT 142)
A group of ten seniors, eight juniors, five sophomores, and five freshmen must select a committee of four.
How many committees are possible if there must be exactly two seniors on the committee?

9. Counting Flow Chart