Essential Question: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

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Presentation transcript:

Essential Question: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems. Two Events If one event can occur in m ways and another event can occur in n ways, then the number of ways that both events can occur is m ∙ n. Three or More Events The fundamental counting principle can be extended to three or more events. For example, if three events occur in m, n, and p ways, then the number of ways that all three events can occur is m ∙ n ∙ p.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems. In how many different ways can the baseball teams finish the competition? In how many different ways can 3 of the baseball teams finish first, second, and third?

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems. 2) How many different 7 digit telephone numbers are possible if all of the digits can be repeated? 3) In example 3, how many different ways can the teams finish if there are 6 teams competing in the playoffs? 4) You were left a list of 9 chores to complete. In how many orders can you complete 5 of the chores?

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems.

EQ: How do you determine the number of distinguishable permutations in the letters of a word? Demonstrated in writing in practice problems. TOMORROW YESTERDAY