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write the answer. You must include an explanation Ouestion I. Suppose a charity event serves a prix fixe dinner that consists of one from each category: (1) soup or salad (not both). (2) appetizer, (3) entree, (4) dessert, and (5) beverage. The restaurant is offering five kinds of soup, three.kinds of salad, four kinds of appetizers, six entrees, ive desserts, and four 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 one side of a long table. If the assignment of attendants to seats is random, what is the probability that the married couple wont get to sit next to each other?

Question 3. Let S-(1,2100. How many (a) 10-combinations are there of 5? (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? DO (d) 10-combinations are there of S that contain exactly four even numbers? ら 4641 446 (e) combinations of S have no more than four elements total? し引),G,23 ,(4、3) (4、1)A.r),(h)

   check to see if correct for question 3. if not show me how.

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

Ouestion 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, doesnt it? 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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