13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent...
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Transcript of 13-1 Permutations and Combinations Pre Calc A. Vocabulary Factorial Independent Events Dependent...
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 1st, 2nd, and 3rd 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 ther5e are 6 girls and 4 boys on the ballot, how many committees of 3 girls and 1 boy be formed?