1. A person giving a party wants to set out 12 assorted cans of soft drinks for his guests. He shops at a store that sells 5 different types of soft drinks. (a) How many different selections of 12 cans of soft drinks can he make? (Hint: How many dividers would you need to separate the types of soft drinks?) (b) If root beer is one of the types of soft drink, how many different selections include at least 4 cans of root beer? (Hint: Just select the remaining 8 cans of soft drinks.) (c) If the store has only 3 cans of root beer but at least 12 cans of each other type of soft drink, how many different selections are there?
1. A person giving a party wants to set out 12 assorted cans of soft drinks for his guests. He shops at a store that sells 5 different types of soft drinks.
(a) How many different selections of 12 cans of soft drinks can he make?
(Hint: How many dividers would you need to separate the types of soft drinks?)
(b) If root beer is one of the types of soft drink, how many different selections include at least 4 cans of root beer?
(Hint: Just select the remaining 8 cans of soft drinks.)
(c) If the store has only 3 cans of root beer but at least 12 cans of each other type of soft drink, how many different selections are there?
(Hint: Use the information from part (a) and (b) to help count this efficiently)
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