ملاحظة: اجب عن ثلاثة افرعQ2) A club has 20 membera) In how many different ways could the club choose a president and a vicepresident?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-membergoverning committee?club choose two co-presidents and ae) In how many different ways couldsecretary?

Introduction: The permutation is the act of putting all the members of a set into a sequence or…

Answered: ملاحظة: اجب عن ثلاثة افرع Q2) A club…

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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Computer programming team has 13 members. B.) Suppose 7 are women and 6 are men. How many groups of 5 can be chosen to only one being a man? B2) Suppose 2 insist on working together or not at all on projects. How many groups of 5 can be chosen to work on a project?
4. In a bakery, there are 12 kinds of cookies and there are 25 cookies available from each kind. a) In how many ways can we buy at least 1 cookie from this bakery? b) In how many ways can we buy at most 2 cookies from this bakery? c) In how many ways can we buy exactly 4 cookies from this bakery?
1. A class of 16 students contains five Math majors, seven Engineering majors and four Physics majors. A group of three students from the class is to be selected to form a team for an academic competition. a.) How many teams can be formed that have a representative from each major? b.) How many teams can be formed that have exactly one Math major? c.) How many teams can be formed that have at least one Math major?
A family of 11 (excluding the parents) attend a basketball game. Their seats are numbered 1,2,3,4,5,6,7,8,9,10,11. i) ii) iii) How many different arrangements in the 11 seats for the 11 people? How many arrangements so that the 3 children are together, 5 teen girls are together, and 3 teen boys are together? How many arrangements so that the children are in seats 3,7,9?
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.
A volleyball team consists of 14 players: There are 6 rookies and the rest of the players are veterans. a) In how many ways can they select a group of 4 to play a sand volleyball game if exactly three of the players must be rookies. b) In how many ways can they select a group of 4 to play a sand volleyball game if at least three of the players must be rookies.
Among the eight nominees for two vacancies on a school board are four men and four women. How many ways can the vacancies be filled a) With any two of the eight nominees? b)With any two of the female nominees? c) With any one of the male nominees and one of the female nominees?

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