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13-1 Permutations and Combinations

13-1 Permutations and Combinations. Pre Calc A. Vocabulary. Factorial Independent Events Dependent Events Basic Counting Principle Permutation Combination. Ex 17:. Determine whether the events are independent or dependent. Tossing 3 coins one at a time

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13-1 Permutations and Combinations

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  1. 13-1 Permutations and Combinations Pre Calc A

  2. Vocabulary • Factorial • Independent Events • Dependent Events • Basic Counting Principle • Permutation • Combination

  3. Ex 17: • Determine whether the events are independent or dependent. • Tossing 3 coins one at a time • Choosing a president, vice president, and treasurer for a club • Selecting a math, history, and science for next year • The order in which runners finish 1st, 2nd, and 3rd in a race

  4. Ex : • Mr. Douty is buying a suit, either one made of wool or one made of polyester. He has narrowed down the choices of colors to gray, blue, black, or tan and the matching tie to a floral, stripe, or solid. How many different selections of his suit and tie are possible?

  5. Ex last one: • How many seven digit phone numbers begin with 28? • How many seven digit phone numbers begin with 28 if no digits can be repeated?

  6. Ex 17: • How many different ways can 5 different textbooks be placed on a shelf?

  7. Ex : • A high school honor club is composed of 7 students. • How many different ways can all the members stand in a straight line for a picture? • How many ways can they select a president and vice president ?

  8. Ex : • A TV network has 15 movies they can show for the holidays. They have spots to air 3 of these movies. How many groups of three can be selected?

  9. Ex last one: • There are 10 names on the ballot for senior class officers. Four will be selected to form a committee. How many different committees of 4 can be formed? In how many ways can a committee of 4 be formed if each student has a different responsibility? If ther5e are 6 girls and 4 boys on the ballot, how many committees of 3 girls and 1 boy be formed?

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