ambra,Ebon's guests will be staying at his five mansions on the island: AlBuckingham, Mysore, Topkapi, and Versailles, each of which has ten guest suites.You've been asked to make sure that all the guests from each country are stayingin the same mansion. His guests include 10 from the USA (US), 7 from China(CN), 6 from India (IN), 5 each from the United Kingdom (GB) and Russia (RU), 4from France (FR), 3 each from Brazil (BR), Ukraine (UA), Sri Lanka (LK), and SouthAfrica (ZA), and 1 from Canada (CA).a) In how many different ways can these fifty guests be distributed into fivemansions with an occupancy of ten each, keeping compatriots in the samemansion? (this question is really asking about the different ways to form groupsof 10 people out of these 50, given that the compatriots have to stay together)b) In how many different ways can these guests be distributed into Ebon's fiveGreek island mansions, keeping compatriots in the same mansion?Explain your answers.

1: Introduction: A generating function is a mathematical tool used to encode a sequence of numbers…

Answered: mansion. His guests include 10 from the…

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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Similar questions

Some people achieve cult like status after their death, such as Jimi Hendrix. Brad has a list of nine such people and would like to propose some documentaries about three of them. If there are nine people to choose from on the list, in how many ways could Brad pick groups of three?
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.)
A survey of 108 high school students determined: 68 use Instagram, 58 use Twitter, and 75 use Facebook; 34 use both Instagram and Twitter, 38 use both Twitter and Facebook, 45 use both Instagram and Facebook; 22 use all three apps. Find how many students use: (a) only Instagram, (b) Instagram and Twitter, but not Facebook, (c) Instagram or Twitter, (d) exactly two of the social media listed.
3. A company checks its managers and find that 70 of them have an undergraduate degree in Business, 30 have an undergraduate degree in business and a Masters in Business, and 45 have only A Masters in Business. 20 others have neither degree. How many managers are in this company?
A country is divided into three regions: regions A, B, and C. It's found that each year, one tenth of the people in region A move to region B and 1 tenths of the people in region A move to region C. Similarly, 5 tenths of the people in region B move to region A and two tenths of the the people in region B move to region C. Finally, one tenth of the people in region C move to region A and 1 tenths of them move to region B. What percentage of the population lives in each of the three regions after a long period of time? % live in region A, % live in region B, and ☐ % live in region C, Hint: if you're trying to solve Ax: = and the matrix A has fractions that you wish weren't there, you can multiply both sides of the matrix equation by a well-chosen number to make the problem simpler. (Note: you may still get fractions when doing Gaussian elimination but that's a different situation.)

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