In how many ways:a. Can 8 people be lined up to get on a bus?b. Can they be seated if 4 specific persons, among 8, insist on following each other?c. Can they be seated if 2 specific persons, among 8, refuse to follow each other, how many ways arepossible?

Total persons = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Answered: In how many ways: a. Can 8 people be…

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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A company has hired 24 new employees, and must assign 10 to the day shift, 9 to the evening shift,and 5 to the night shift. how many ways can the assignment be made
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3. The students' council is having pizza at their next meeting. There are 20 council members, 6 of whom are vegetarian. A committee of 3 will order six pizzas from a pizza shop that has a special price for large pizzas with up to three toppings. The shop offers ten different toppings. a) How many different pizza committees can the council choose if there must be at least one vegetarian and one non-vegetarian on the committee?
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If 3 specific persons among the 10 people lined up to get on the bus insist on following each other how many ways are possible?
a).A food-processing firm has 8 brands of seasoning agents from which it wishes to prepare a gift package containing 5 seasoning agents. How many combinations of seasoning agents are available? b). A sales person has 9 products to display in a trade fair but he can display only 4 at a time, how many displays can he make if the order in which he displays is important? c).A radio repairer notes that the time he spends on his job has an exponential distribution with a mean of 4 minutes. He follows the first come first serve principle. The arrival time of clients takes a Poisson distribution with an average rate of 8 clients every 1 hour. i.Determine the arrival rate value and service rate value to be used ii) How long will it take the client waiting in the queue iii). Determine the client’s average waiting time in the system iv).Compute the probability that the system is idle; P (idle)
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In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific persons, among 8, insist on following each other? c. Can they be seated if 2 specific persons, among 8, refuse to follow each other, how many ways are possible?