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Please solve a,b,c,d and question 8 Question 7: It is New Year's Eve and you are at Michiel's Pub. This pub serves - 4 types

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Please solve a,b,c,d and question 8

Question 7: It is New Year's Eve and you are at Michiel's Pub. This pub serves - 4 types of beer, - 3 types of soda, and - 2 types of cider. 3 The beer and the cider both contain alcohol, but the soda is alcohol-free. Over the course of the evening you have 10 drinks, one at a time, and then Uber home. For each of the questions below assume the order of the drinks matters. a) How many ways are there for you to have exactly 5 alcoholic drinks and 5 sodas? b) How many ways are there for you to have at most 5 alcoholic drinks? c) How many ways can you have 5 soda, 3 beer and 2 cider? d) How many ways are there for you to have at most 3 beer and at most 2 cider? Question 8: Solve the previous question, but now assume the order of the drinks does not matter, i.e., you order all 10 drinks at the same time (you're really thirsty)

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