Use your calculator to notation, leave it in the original form) compute the foll

Question

Use your calculator to notation, leave it in the original form) compute the following (If the answer you see is in scientific Su all 30 b Answer: . Assume that ooks are different. In how many ways can you put the 30 books in a row on a shelf? subsets of S-(1, 2, 3,..., 10) that contain exactly four elements, the sum of which is even. Answer: c. A doughnut shop sells 30 kinds of doughnuts. In how many ways can you get a bag of 12 doughnuts if you want at least 3 glazed doughnuts and at least 4 raspberry doughnuts? Answer: d. How many permutations of the seven letters A, B, C, D, E, F, G have E in the first position? Answer: e. Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row for a picture. In how many ways can this be done if neither Ed nor Fran are in the picture? Answer:

Explanation / Answer

5.a. Answer: 30! (i.e., factorial(30))

5.b. Answer: 15360 (i.e., (5!*4!*5!*4! + 5!*4!*3!*2! + 5!*4!*3!*2!)*4!)

5.c. Answer: 33649 (i.e., C(23,5))

5.d. Answer: 720 (i.e., 6!)

5.e. Answer: 2520(i.e., P(7,5))

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