13-1 Permutations and Combinations

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13-1 Permutations and Combinations

• Pre Calc A

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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

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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?