7.6.1: Combinations- Involving Several Sets (Exercises)
Following problems involve combinations from several different sets.
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Three marbles are chosen from an urn that contains 5 red, 4 white, and 3 blue marbles. How many samples of the following type are possible?
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The following problems involve combinations from several different sets.
Five coins are chosen from a bag that contains 4 dimes, 5 nickels, and 6 pennies. How many samples of five coins of the following types are possible?
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Find the number of different ways draw a 5-card hand from a deck to have the following combinations.
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The party affiliation of the 100 United States Senators in the 114 th Congress, January 2015, was:
44 Democrats, 54 Republicans, and 2 Independents.
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The 100 United States Senators in the 114 th Congress, January 2015, included 80 men and 20 women. Suppose a committee senators is working on legislation about wage discrimination by gender.
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Jorge has 6 rock songs, 7 rap songs and 4 country songs that he likes to listen to while he exercises. He randomly selects six (6) of these songs to create a playlist to listen to today while he exercises.
How many different playlists of 6 songs can be selected that satisfy each of the following: (We care which songs are selected to be on the playlist, but not what order they are selected or listed in.)
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