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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. (a) How many ways are there to choose five people for the picture if Hal must be there and Ben must not be there? (b) In how many ways can a row of five people be formed if Dot is on the left end and Ed is on the right end? (c) In how many ways can a row of five people be formed if Ann and Ben are in the picture and standing next to each other?

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. (a) How many ways are there to choose five people for the picture if Hal must be there and Ben must not be there? (b) In how many ways can a row of five people be formed if Dot is on the left end and Ed is on the right end? (c) In how many ways can a row of five people be formed if Ann and Ben are in the picture and standing next to each other?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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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.

(a) How many ways are there to choose five people for the picture if Hal must be there and Ben must

not be there?

(b) In how many ways can a row of five people be formed if Dot is on the left end and Ed is on the

right end?

(c) In how many ways can a row of five people be formed if Ann and Ben are in the picture and

standing next to each other?

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