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# 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. .

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## Counting

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1. 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. 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. Calculate each of the following 5! 8!*6!

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

6. 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. 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. 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

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