1. FactorialYou might want to do these by hand just to get a feel for factorials?1. You have 7 patients today, how many different ways could you order their scheduling (e.g.a,b,c,d,e,f,g or g,a,b,c,d,e,f or ... .)?2. You need to clean 5 teeth on a patient one at a time, how many different ways could you orderthe cleaning of the 5 teeth.3. There are 15 people in this class. How many ways could we arrange them in a line?4. What is 30!? (please use scientific notation and 2 significant digits e.g. 3.1 x 1023) (rememberin Excel 1.23E+20 means 1.23 x 1020)

1) The number of ways to order 7 patients is 7! (7 factorial), which is equal to: 7! = 7 x 6 x 5 x 4…

Answered: 1. You have 7 patients today, how many…

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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3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the room?
5. Vic has three chicken houses with an average of 23,800 broilers per house. He has broilers in a house for 7 weeks and then the house is empty for 2 weeks. Vic has his operation in a cycle, starting one house at a time throughout the year. a. How often does he start a new group of broilers? b. How many groups are sold per year? c. How many broilers are sold per year if there is a 4.5 percent loss?
9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)
You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5 friends who want to come along. 1. Does order matter in this situation? For example, would bringing friends 1, 2, and 3 count as a different combination than bringing friends 1, 3, and 2? Explain your reasoning. 2. How many different groups of friends could you take with you? 3. Explain how you got your answer. 4. What patterns did you recognize as you worked through this problem?
In a new group of 19 employees 4 are to be assigned to production, 2 to sales, and the rest to advertising. In how many ways can this be done?
You work at McKinsey Company and you are in charge of assigning 6 new consultant analysts to projects. There are 5 projects in total. For a given project, up to 3 new consultants can be assigned (i.e., either 0,1,2 or 3 consultants will be assigned to each project). Each consultant is assigned to exactly one project. The table below indicates on which projects the new consultants can be assigned based on their skills and areas of expertise. Project A Project B Project C Project D Project E Consultant 1 Yes Yes Yes No Yes Consultant 2 No Yes No No Yes Consultant 3 Yes No No Yes Yes Consultant 4 Yes Yes Yes Yes No Consultant 5 Yes…
5. We have n dollars. Every day we buy exactly one of the following products: pretzel ($1), candy ($2), ice-cream ($2). What is the number, Mn, of possible ways spending all the money?
2. You are doing team building exercises with the 6 employees at your small business. For one exercise, you will split up your 6 employees into pairs, into thre groups of two. How many unique pairs can be made from 6 employees? 15 12 36
Question 3 A company has 13 employees, and wants to create a team of 7 employees to work on a new project. The order of selection of the employees does not matter. How many different teams could be formed? You should show your work for this problem. > Next Question
6. A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose fromn and we are required to use between 10 and 50 beans of each variety. How many different ways of filling the jar are there?
You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5 friends who want to come along. 1. Does order matter in this situation? For example, would bringing friends 1, 2, and 3 count as a different combination than bringing friends 1, 3, and 2? Explain your reasoning. 2. How many different groups of friends could you take with you? 3. Explain how you got your answer. 4. What patterns did you recognize as you worked through this problem?

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