3. Nine stuffed animals, all different, are placed along a baby's toy shelf. How manypossible arrangements are there if:a) there are no restrictions.b)Cookie Monster must be in the middle.c) BERT and ERNIE must be together.d) BERT, ERNIE, and OSCAR must be together.e) BERT, ERNIE, and OSCAR must not be together.f) they must not be in alphabetical order.

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Answered: 3. Nine stuffed animals, all different,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The Greens are moving. Their real estate agent located 75 houses listed for sale in their price range. Of those houses listed for sale, 42 had a finished basement. 47 had a three-car garage. 32 had a finished basement and a three-car garage. Complete parts a) through c). a) How many had a finished basement but not a three-car garage? (Type a whole number.) b) How many had a three-car garage but not a finished basement? (Type a whole number.) c) How many had either a finished basement or a three-car garage? (Type a whole number.)
Major League Baseball teams maintain a 25- man roster and also a 40- man roster. Players on the 25- man roster may play in official games throughout the season. The additional 15 players on the 40- man roster may play in games starting September 1. a) how many 9-player batting orders are possible from a 25-man roster? b) How many 9-player batting orders are possible from a 40-man roster?
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)
Q6) An eight-man committee is to be formed from a group of 10 welsh-men and 15 Englishmen. In how many ways can the committee be chosen if i) ii) iii) The committee must cotain 4 of each nationality. There must be more Welshmen than Englishmen. There must be at least two welshmem.
6
Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be 3 students on the committee b) there must be no more than 2 teachers on the committee c) there must be at least one teacher and at least one student on the committee d) Barry and Miss Morrison cannot be on the committee together.
4. Pete needs to choose a new laptop. He has a number of choices to make. First, he must choose a brand: MacBook, or Dell, Axios, or Lenovo. Next, he must choose the size of the memory: 16GB or 32 GB. Then, he must choose the color black, silver, grey, or gold. How many options does he have in total? A) 16 B) 18 C) 24 D) 32 Show your work for full credit.
2. If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? Write your response below:

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3. Nine stuffed animals, all different, are placed along a baby's toy shelf. How many possible arrangements are there if: a) there are no restrictions. b) Cookie Monster must be in the middle. c) BERT and ERNIE must be together.