EXAMPLE 1 Count permutations

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Presentation transcript:

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 There are 24 ways you can arrange all of the letters in the word JULY. ANSWER

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. Number of permutations = Choices for 1st letter Choices for 2nd letter = 4 3 = 12 ANSWER There are 12 ways you can arrange 2 of the letters in the word JULY.

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

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