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3. a) Suppose your campus bookstore has left in stock 3 copies of the calculus book,...

3. a) Suppose your campus bookstore has left in stock 3 copies of the calculus book, four copies of the linear algebra book, and five copies of the statistics book. In how many different orders can these books be arranged on the shelf? b) Five persons (A, B, C, D, and E) are going to speak at a meeting. In how many orders can they take their turns if B must speak after A? How many if B must speak immediately after A? c) In how many ways can the letters of the phrase be arranged? NINETEEN TENNIS NETS d) In how many ways can an American, Brit, Canadian, Dane, and Egyptian sit at a round table? e) In how many ways can 8 people, including Smith and Jones, sit at a round table with Smith next to Jones? f) A store has in stock 20 cans of each of five flavors of a particular brand of soda. In how many ways can a customer purchase 10 of these cans of soda?

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