1. A student club is buying 2L bottles of pop for an event. They need to get twe
ID: 3007656 • Letter: 1
Question
1. A student club is buying 2L bottles of pop for an event. They need to get twelve bottles, and have four varieties of pop to choose from. (Cola, ginger ale, root beer, and lemon-lime, if you’re curious.)
(a) How many different selections of bottles could they make?
(b) If the club makes sure that there is at least two bottles of each of the four types of pop, how many ways are there for them to make their selections?
(c) Suppose instead that the person buying the bottles wants to buy a different number of bottles of each type, for obscure reasons of their own. How many ways are there to do this?
Explanation / Answer
1) 4c1+4c2+4c3+4c4=12 2)4c2+4c3+4c4=8 3)As this selection does not depends upon the number of bottles purchased hence the answer will be 12.
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