subject
Mathematics, 13.03.2020 06:02 alexisthegirl

Twenty people work at a small startup. A six-person committee is to be formed. (a) Let D denote the set of all possible committees. Find |D|. (b) Two of the workers, Alice and Beth, will be unhappy if they have to serve together. Let P be the set of possible committees with both Alice and Beth. Find |P|. (c) Beth will also be unhappy if she has to serve with both Frank and Grace. Let Q be the set of possible committees on which Beth, Frank, and Grace would all serve together. Find |Q|. (d) Find |P ∩Q|. (e) Let S be the set of all possible committees on which there is at least one unhappy employee. Express S in terms of only P and Q. (f) Find |S|. (g) How many committees can we form with no unhappy employees? (h) Instead of one committee, we decide to form two six-person committees. Each employee can be on at most one committee. How many ways can we form these committees, if employee happiness is not taken into consideration?

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 18:30
Find the area of the regular hexagon if a side is 20 cm.
Answers: 2
question
Mathematics, 21.06.2019 21:00
Emily is entering a bicycle race for charity. her mother pledges $0.90 for every 0.75 mile she bikes. if emily bikes 18 miles, how much will her mother donate?
Answers: 1
question
Mathematics, 22.06.2019 02:50
The angle of depression from the top of the tree to the tip of the shadow is 25°. find the height of the tree to the nearest tenth. a. 16.8 feet b. 18.2 feet c. 23.4 feet d. 39.7 feet
Answers: 2
question
Mathematics, 22.06.2019 03:00
Will give the box plots below show the math scores of students in two different classes: class a 55 72 75 89 95 class b 55 70 75 94 100 based on the box plots, which statement is correct? a: the median score of class a is greater than the median score of class b. b: the lower quartile of class a is greater than the lower quartile of class b. c: the upper quartile of class a is greater than the upper quartile of class b. d: the maximum score of class a is greater than the maximum score of class b.
Answers: 1
You know the right answer?
Twenty people work at a small startup. A six-person committee is to be formed. (a) Let D denote the...
Questions
question
Chemistry, 19.06.2020 02:57
question
Mathematics, 19.06.2020 02:57
question
Mathematics, 19.06.2020 02:57
question
Health, 19.06.2020 02:57