Counting

Counting

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.

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?

Calculate each of the following 5! 8!*6! 9! 5 ! 4 !

Formulas permutation combination n! n Pr ( n r )! r n without replacement and order is important n! nCr ( n r )! r ! 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 must be one person from each class 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 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?

Counting Flow Chart