How many different ways can you arrange the letters in “may”?

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Presentation transcript:

How many different ways can you arrange the letters in “may”? Bell Work How many different ways can you arrange the letters in “may”?

Permutations MAY AMY YMA MYA AYM YAM A permutation is a selection of a group of objects in which order is important. In our introductory example, we have 6 permutations. MAY AMY YMA MYA AYM YAM Video on Permutations Permutations - Free Math Video by Brightstorm http://brightstorm.com/math/algebra-2/combinatorics/permutations/

How to Calculate Number of Permutations n is the number of items r is the amount of items taken at a time In our introductory example, n is equal to 3 and r is equal to 3. How would you use the “line method” to solve this problem?

Example 1 Suppose that you want to select a president, vice president, and treasurer for this class. How many different ways can you select these class officers? (Note that there are 23 students in this class.) President Vice President Treasurer

Example 2 In every Indian’s game, there are 9 hitters. How many different ways can the 9 hitters be arranged?

Example 3 How many different ways can you rearrange the letters in “math”? M A T H

Bonus! An ATM code consists of 4 single digits. How many possible combinations exist if no number can be repeated? How many possible combinations exist if the numbers can be repeated?