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.

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Presentation transcript:

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

Find Probabilities Using Permutations Section 13.2

Objectives: Define permutation Find factorials Find probabilities using permutations

Key Vocabulary: Permutation n factorial

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

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?

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

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

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.

Permutations

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?

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.

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

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