3) From a group of 4 men and 5 women, how many committees of size 3 are possiblea) With no restrictions?b) With 1 man and 2 women?c) With 2 men and 1 woman if a certain man must be on the committee?4) From 4 red, 5 green, and 6 yellow apples, how many selections of 9 apples are possible if 3 ofeach color are to be selected?

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Answered: From a group of 4 men and 5 women, how…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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be A) There are 25 students in this class. How many different support groups could you a part of, if each support group contains a total (including you) of 3 or 4 people?
Q2) A club has 20 member a) In how many different ways could the club choose a president and a vice president? b) In how many different ways could the club choose two co-presidents? c) In how many different ways could the club choose a president, vice- president, and secretary? d) In how many different ways could the club choose a three-member governing committee? e) In how many different ways could the club choose two co-presidents and a secretary?
a class consists of 37 freshmen, 54 sophomores, and 22 juniors. The class wantsto send a nine-person delegation to the university sentate a) if the delegation has to consist of 2 freshman 3 sophomore, and 4 juniors, how many different delegation are possible? b) If the nine-person delegation is chosen without regard to class standing, how many delegations are possible?
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)
A survey of 68 customers was taken at a bookstore regarding the types of books purchased. The survey found that 41 customers purchased mysteries, 33 purchased science fiction, 26 purchased romance novels, 17 purchased mysteries and science fiction, 14 purchased mysteries and romance novels, 10 purchased science fiction and romance novels, and 3 purchased all three types of books. a) How many of the customers surveyed purchased only mysteries? b) How many purchased mysteries and science fiction, but not romance novels? c) How many purchased mysteries or science fiction? d) How many purchased mysteries or science fiction, but not romance novels? e) How many purchased exactly two types of books?
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
e) d) In how many ways can the letters of the word "OPTOM" be arranged? Show work. A committee of 3 is to be formed from a group of 20 people. How many different committees are possible? Show work. f) From a group of 5 women and 7 men, how many different committees consisting of 2 women and 3 men can be formed? Show work.
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.
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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From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no restrictions? b) With 1 man and 2 women? c) With 2 men and 1 woman if a certain man must be on the committee?