13 1 Permutations and Combinations Pre Calc A
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 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 1 st, 2 nd, and 3 rd in a race ¢ ¢ ¢
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?
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?
Ex 17: ¢ How many different ways can 5 different textbooks be placed on a shelf?
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 ? ¢
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?
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 ther 5 e are 6 girls and 4 boys on the ballot, how many committees of 3 girls and 1 boy be formed?
- Slides: 9