1. Quote of the Day
The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. -Tobias Dantzig

2. Find Probabilities Using Permutations
Section 13.2

3. Objectives: Define permutation Find factorials
Find probabilities using permutations

4. Key Vocabulary:
Permutation
n factorial

5. Permutations
A permutation is an arrangement of objects in which order is important. For instance, the 6 possible permutation of the letters A, B, and C are shown: ABC ACB BAC BCA CAB CBA

6. Example 1:
Consider the number of permutations of the letters in the word JULY.
In how many ways can you arrange all of the letters?
In how many ways can you arrange 3 of the letters?

7. #1: Complete.
In how many ways can you arrange the letters in the word MOUSE?

8. #2: Complete.
In how many ways can you arrange 3 of the letters in the word ORANGE?

9. Factorial
For any positive integer n, the product of the integers from 1 to n is called n factorial and it written as n! The value of 0! Is defined to be 1.

10. Permutations

11. Example 2:
Your band has written 12 songs and plans to record 9 of them for a CD. In how many ways can you arrange the songs on the CD?

12. Example 3:
For a town parade, you will ride on a float with your soccer team. There are 12 floats in the parade, and their order is chosen at random. Find the probability that your float is first and the float with the school chorus is second.

13. Partner Work
Page 853 #4, 7, 16, 22, 28

14. Homework Assignment Page 853 #6, 8, 10, 12, 14, 18, 20,
24, 26, 30, 32, 36, 38, 40, 42