3. a. In how many ways can the 12 members of the Board of Directors (BOD) be chosen from 12 parent-nominees and seven teacher-nominees if there must be eight parents in the BOD? b. After the 12 members are chosen, in how many ways can they elect among themselves the seven top positions (president, vice president, and others)?

3. a. In how many ways can the 12 members of the Board of Directors (BOD) be chosen from 12 parent-nominees and seven teacher-nominees if there must be eight parents in the BOD? b. After the 12 members are chosen, in how many ways can they elect among themselves the seven top positions (president, vice president, and others)?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

11. There are 6 people, out of which you have to choose 3 to be part of a committee, first a chairman, second a secretary, third a treasurer, in order. How many different committees can there be? O A. 120 B. 18 O C. 6 O D. 240 O E. 180
A survey of 100 college students regarding the ownership of laptops and tablets revealed the following information: 73 owned a laptop, 52 owned a tablet, and 40 owned both a laptop and a tablet. How many students in the survey own the following? (a) a laptop or a tablet students (b) a laptop only students (c) a tablet only students (d) neither a laptop nor a tablet students
3. The Alumni of Saint Belousov University have decided to run a lottery in support of the University Tiddlywinks team. The lottery committee agree that ticket buyers will pick 5 letters from the 13 different letters that make up the name of the University: s, a, i, n, t, b, e, l, o, u, v, r, y. How many different tickets are possible if: (a) The order in which the letters are picked is not important and no letter may be repeated (eg. saint and stain give the same ticket.) (b) XXX The order is taken into account and letters may be repeated (eg. abbab and aabbb are different tickets) (c) XX The order is taken into account and letters may be repeated but exactly three of the letters must be vowels. (eg. asalo. Note: y is not considered to be a vowel in this instance.)
85 cities were surveyed to determine sports teams. 25 had soccer, 19 had rugby, 18 had basketball, 11 had soccer and rugby, 12 had soccer and basketball, 11 had rugby and basketball. 6 had all three. Let A = soccer, B = rugby, C = basketball. How many had only a basketball team? 1 How many had soccer and rugby, but not basketball? 5 How many had soccer or rugby? 33 How many had soccer or rugby, but not basketball? 16 How many had exactly two teams? U A I IV II VII VI III с B VIII
A. The Computer Geek Org has 23 members: 3 freshmen, 5 sophomore, 7 junior, and 8 senior students. If you are going to pick a certain number of name/s at random, at least how many should you pick to make sure that you have 2 students with the same year level? Use the pigeonhole principle and state your conclusion.
2) The Math Club consists of 15 members. Four of them will represent the school in a math competition against other schools. If the adviser of the club randomly selects these 4 students, how selections are possible? many different
7. A club has 10 seniors, 12 juniors, 8 sophomores, and 6 freshman. How many ways can the club choose a 6-person party-planning committee with exactly 4 juniors?
1. Assume that a class of 16 students is supposed to write an essay. If 3 essays are randomly selected to appear on the class bulletin board, how many different groups of 3are possible? (calculate number of combinations of 3 items from 16 available items).Show the result of calculations.
A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 16 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below. a. How many different ways can the officers be appointed? There are different ways to appoint the officers. b. How many different ways can the committee be appointed? There are different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates? P(getting the three youngest of the qualified candidates) = (Type an integer or a simplified fraction.)
2. How many ways are there to place 12 people into four groups of equal size?