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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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**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!**Formulas**permutation combination without replacement and order is important 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?

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