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Questio (1 offering ri n I, Suppose a charity event serves a prix tixe dinner that consists of one from each category or salad (not both). (2) appetizer, (3) entree, (4) dessert, and (5) beverage. The restaurant is kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and beverages How many different prix fixe dinners are possible?

Question 2. Six wedding party attendants, two of whom are married to each other, are to be seated on ts to seats is random, what is the probability that the married couple wont get to sit next to each other?

Question 3. Let S-(1,2,... 1001. How many (a) 10-combinations are there of S? (b) 10-combinations are there of S such that 2 does not appear? (c) 10-combinations are there of S such that 2 does appear? (d) 10-combinations are there of S that contain exactly four even numbers? (e) combinations of S have no more than four elements total?

Question 4. In a firm are 10 executives and 80 other employees. In how many ways can committee with 2 executives and 3 other employees? you have a

Question S. There are 36 students in our class. Suppose I assign everyone a grade of A. B, C. D, or F at random, (Really makes you want to study, doesn t I promise not to actually assign grades randomly...) (a) How many possible assignments of grades are there?

(b) What is the probability that exactly 15 students get an A? (c) What is the probability that YOU get an A?

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