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Pre-Algebra

Pre-Algebra. Fundamental Counting Principle. What Are You Learning?. I CAN use the fundamental counting principle to find the total number of outcomes. Why Do You Need To Know This?.

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Pre-Algebra

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  1. Pre-Algebra Fundamental Counting Principle

  2. What Are You Learning? • I CAN use the fundamental counting principle to find the total number of outcomes.

  3. Why Do You Need To Know This? • The fundamental counting principle is useful because it give another way to find the sample space of various real world events. • They are also useful in finding the probabilities of various events.

  4. Vocabulary • Fundamental Counting Principle—If an event M can occur in m ways and is followed by event N that can occur in n ways, then the event M followed by N can occur in m x n ways. • You multiply the number of ways each event can happen.

  5. 451 Steakhouse • A famous steak house allows customers to create their own steak dinners. • How many different steak dinners are possible?

  6. The table below shows the shirts, shorts, and shoes in Gerry’s wardrobe. • How many possible outfits can he choose consisting of one shirt, one pair of shorts, and one pair of shoes?

  7. An orchestra has one opening for a violinist, one opening for a cellist, and one opening for an oboist. 3 musicians are trying out for violin, 5 for cello, and 3 for oboe. • Find the # of ways the openings can be filled.

  8. There are 2 roads connecting Eastland and Harping, 3 roads connecting Harping and Sinclair, and 2 roads connecting Sinclair and Johnstown. • Find the number of ways to drive from Eastland to Johnstown.

  9. Elizabeth has 3 sweaters, 5 blouses, and 6 skirts that coordinate. • How many different outfits can Elizabeth make?

  10. tossing a quarter, dime, and a nickel choosing scrambled, sunny-side up, or poached eggs with bacon or sausage and milk, orange juice, or apple juice rolling a number cube and tossing two coins choosing a number from 1 to 20 and a color from 7 colors choosing a plain, blueberry, garlic, or cinnamon-and-raisin bagel with plain, chive, or sun-dried tomato cream cheese choosing iced tea in regular, raspberry, lemon, or peach flavors; sweetened or unsweetened; and in a glass or in a plastic container Use the Fundamental Counting Principle to find the total number of outcomes for each situation.

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