Introduction to Counting Methods Fundamental Counting Principal and

Introduction to Counting Methods, Fundamental Counting Principal, and Permutations and Combinations

A nickel, a dime and a quarter are tossed. Construct a tree diagram to list all possible outcomes.

Evaluate the factorial expression:

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?

Formulas permutation without replacement and order is important combination without replacement and order is NOT important

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?

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?

A group of ten seniors, eight juniors, five sophomores, and five freshmen must select a committee of four. How many committees are possible if the first person chosen is chair of the committee, the second person is secretary, the third person is treasurer and the fourth person is refreshment coordinator?