For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. (25 pt., 5 pt. each) A French pastry shop sells 15 different flavors of macarons. Assume that it has an unlimited supply of each type. How many ways are there to choose 12 macarons from these 15 flavors if... 3.1...they are all the same flavor? 3.2 ...they are all different flavors? 3.3 ...half are one flavor and half are a different flavor (for example, half are raspberry and half are chocolate)? 3.4...at most 4 are salted caramel? 3.5 ...at least 2 are pistachio and at least 4 are hazelnut?
For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. (25 pt., 5 pt. each) A French pastry shop sells 15 different flavors of macarons. Assume that it has an unlimited supply of each type. How many ways are there to choose 12 macarons from these 15 flavors if... 3.1...they are all the same flavor? 3.2 ...they are all different flavors? 3.3 ...half are one flavor and half are a different flavor (for example, half are raspberry and half are chocolate)? 3.4...at most 4 are salted caramel? 3.5 ...at least 2 are pistachio and at least 4 are hazelnut?
Chapter6: Using Arrays
Section: Chapter Questions
Problem 19RQ
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Transcribed Image Text:For each of the following problems, you should write your answer as an expression. Do not
give the final numeric value. For example, if your answer is the number of
6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 ×
7 × 6 × 5, but not 151200.
Transcribed Image Text:(25 pt., 5 pt. each) A French pastry shop sells 15 different flavors of macarons. Assume
that it has an unlimited supply of each type. How many ways are there to choose 12
macarons from these 15 flavors if...
3.1...they are all the same flavor?
3.2 ...they are all different flavors?
3.3 ...half are one flavor and half are a different flavor (for example, half are raspberry and
half are chocolate)?
3.4...at most 4 are salted caramel?
3.5 ...at least 2 are pistachio and at least 4 are hazelnut?
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