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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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?

standing next to each other?

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