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EXAMPLE 1

ANSWER. There are 24 ways you can arrange all of the letters in the word JULY. EXAMPLE 1. Count permutations. Consider the number of permutations of the letters in the word JULY. a. In how many ways can you arrange all of the letters?. SOLUTION.

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EXAMPLE 1

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  1. ANSWER There are 24 ways you can arrange all of the letters in the word JULY. EXAMPLE 1 Count permutations Consider the number of permutations of the letters in the word JULY. a. In how many ways can you arrange all of the letters? SOLUTION a. Use the counting principle to find the number of permutations of the letters in the word JULY. = 24

  2. Number of permutations Choices for 1st letter Choices for 2nd letter = = 4 3 ANSWER There are 12 ways you can arrange 2 of the letters inthe word JULY. EXAMPLE 1 Count permutations b. In how many ways can you arrange 2 of the letters? b. When arranging 2 letters of the word JULY, you have 4 choices for the first letter and 3 choices for the second letter. = 12

  3. ANSWER There are 120 ways you can arrange all the letters inthe word MOUSE. for Example 1 GUIDED PRACTICE 1. In how many ways can you arrange the letters in the word MOUSE?

  4. ANSWER There are 120 ways you can arrange 3 of the letters inthe word ORANGE. for Example 1 GUIDED PRACTICE 2. In how many ways can you arrange 3 of the letters in the word ORANGE?

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