1. Permutations and Combinations

2.  Permutation- An arrangement of objects in which order is important.  Linear Permutation- The arrangement of objects or people in a line.  Combination- An arrangement of objects in which order is not important.

3.  Factorial is found by finding the product of all of the numbers between 1 and n.  5!  7!  3!  15!

5.  There are 10 finalists in a figure skating competition. How many ways can gold, silver, and bronze be awarded?

6.  A newspaper has nine reporters available to cover four different stories. How many ways can the reporters be assigned to cover the stories?

7.  The winner and first, second, and third runners-up out of 12 finalists.

9.  How many different ways can the letters of the word MISSISSIPPI be arranged?

10.  How many different ways can the letters of the word DECIDED be arranged?

11.  How many different arrangements of the letters of the hawaiian word ALOHA are possible?

13.  A group of seven students working on a project needs to choose two students to present the groups report. How many ways can they choose the two students?

14.  A family of septuplets assigns different chores to the children each week. How many ways can three children be chosen to help with the laundry?

15.  How many ways to choose 2 CDs to buy from ten that are on sale?

16.  In more complicated situations, you may need to multiply combinations and/or permutations.

17.  Five cards are drawn from a standard deck of cards. How many hands consist of 3 clubs and 2 diamonds?

18.  How many 5-card hands consist of 5 cards of the same suit?

19.  In a multi-state lottery, the player must guess which five of the forty-nine white balls numbered 1-49 will be drawn. The order in which the balls are drawn does not matter. The player must also guess which one of the forty-two red balls numbered 1-42 will be drawn. How many ways can the player fill out a lottery ticket?

21.  Pages 693-694  2-36 even