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

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Presentation on theme: "How many different ways can you arrange the letters in “may”?"— Presentation transcript:

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

2 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

3 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?

4 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

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

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

7 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?


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