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HW Permutations

Last updated over 2 years ago
26 questions
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4!=

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7!=

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1!=

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You have 5 different books for your classes. In how many ways can you arrange all of them on a shelf?

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A group of 5 friends want to sit in a row for a photo. How many different orders can they arrange themselves?

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*Hint use the formula, not the shortcut.

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Twelve skiers are competing in the final round of the Olympic freestyle skiing aerial competition. How many ways can 3 of the skiers finish first, second, and third?

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Radio station call letters consist of four letters beginning with either a K or a W. How many different radio station call letters are possible if letters can be repeated?

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Radio station call letters consist of four letters beginning with either a K or a W. How many different radio station call letters are possible if letters can NOT be repeated?

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A combination lock has 3 digits, where each digit can be any number from 0 to 9. How many possible combinations are there?

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How many different 7-digit phone numbers are possible if the first digit cannot be 0 or 1?

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There are 8 movies you would like to see showing in theaters. In how many ways can you choose a movie to see Saturday and a different one Sunday?

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How many computer passwords can be generated if it must consist of 2 letters followed by 4 digits, and nothing can repeat?

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How many computer passwords can be generated if it must consist of 2 letters followed by 4 digits, and they can repeat?

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How many computer passwords can be generated if it must consist of 1 digit followed by 5 letters, and nothing can repeat?

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How many computer passwords can be generated if it must consist of 1 digit followed by 5 letters, and they can repeat?

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The next couple examples are COMBINATIONS. This is a part of what we'll be learning next class. Since the order DOES NOT matter in Combinations, you can just multiply your options.

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You have 3 shirts (red, green and yellow) and 2 pants (black and jeans). Find the total number of ways you can make an outfit consisting of 1 shirt and 1 pair of pants.

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At a restaurant, you have a choice of 8 different entrees, 2 different salads, 12 different drinks, and 6 different desserts. How many different dinners consisting of 1 of each selection can you choose?

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