A student council consist of 12 students. (Show the details of your computation, not just your final answer) (a) In how many ways a committee of 4 can be selected from the students in the council? (b) Two students in the council have the same major and are not permitted to serve together on a committee. How many ways a committee of 4 can be selected from the students in the council?

A student council consist of 12 students. (Show the details of your computation, not just your final answer) (a) In how many ways a committee of 4 can be selected from the students in the council? (b) Two students in the council have the same major and are not permitted to serve together on a committee. How many ways a committee of 4 can be selected from the students in the council?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Determine which of the values is a solution of 4t + 6< 10. Solution Not a solution

Q: Find an SVD for [-3 1]

A: The given problem is to find the singular value decomposition for the given matrix. Given matrix is…

Q: The accompanying table shows the numbers of male and female students in a particular country who…

A: Given: The table shows the Business graduates: Business degrees Nonbusiness degrees Total…

Q: Prove (choose your favourite: Equational or Hilbert proof) hat A → BF (B → C) → A → C.

A: Given: We have to prove A→B⊢B→C→A→C. This can be shown using a Hilbert style proof, as shown below.…

Q: Persistence diagrams show the behaviour of drivers over the last few years across different…

Q: Leslie plans to invest some money in two CD accounts. The first account pays 3.6% interest per year,…

A: Given

Q: Linear algebra number 1 a and b show all work

Q: Floor Space (sq. ft.) Weekly Sales (dollars) 6,060 16,380 5,230 14,400 4,280 13,820 5,580…

A: Solution: a. The scatter plot is obtained by using excel. Procedure: Enter the data in excel.…

Q: The UNSHADED region show in the Venn diagram below is A Select one: O a. (A - B)' O b. A' B earch E…

Q: Prove that there is no permutation a such that al(12) a = (34) (15).

Q: topology advanced make proof , application with 2 example for baire theoream

A: Baire's Theorem:Baire's Theorem is a fundamental result in functional analysis and general topology.…

Q: In this study, you first catch 50 deer and tag them with a noninvasive tag. Then you release them. A…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Question

Math Discrete Structure

7. A student council consist of 12 students. (Show the details of your computation, not just your final answer)
(a) In how many ways a committee of 4 can be selected from the students in the council?
(b) Two students in the council have the same major and are not permitted to serve together on a
committee. How many ways a committee of 4 can be selected from the students in the council?
(c) Suppose the council contains 6 women and 6 men. How many committees of 4 can selected with 2
women and 2 men?
(d) The council consist of 4 freshmen, 2 sophomore, 2 juniors and 4 seniors. How many committees of 4
can be created with one student from each grade level?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Given data,

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Survival Analysis and Life Tables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Topology EX LeT X = {!,2,3,4,5,6 %3D is T Topology ?
Accessing the WeBWork Homework Sets Blackboard Learn MAA MATHEMATICAL ASSOCIATION OF AMERICA < webwork/f23bai89522m2345s002/_unit_1_homework_set / 19 Unit 1 Homework Set: Problem 19 Previous Problem Problem List Next Problem Subject Mean Stand. dev. Nick's score Nick's z score History 53 16 50.44 Spanish 44 4 Calculus 70 (2 points) Nick took 4 courses last semester: History, Spanish, Calculus, and Physics. The means and standard deviations for the final exams, and Nick's scores are given in the table below. Convert Nick's score into z scores. 12 12 41 62 91 58.33 70.5 webwork.math.ttu.edu 85.17 Physics 60 14 66.21 On what exam did Nick have the highest relative score? (Enter the suject.) Calculus Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 20%. You have unlimited attempts remaining. Ć TWebWork: f23bai89522m2345s002: _Unit_1_Homework Set: 19 Logged in a
Normal-Normal-Inverted Wishart Conjugate Model for Classification
Pseudoscorpions: Investigating the Research Question The data for this project is in data frame Pseudoscorpions, from package abd: require(abd)data(Pseudoscorpions)View(Pseudoscorpions)help(Pseudoscorpions) From the text Analysis of Biological Data, by Michael C. Whitlock and Dolph Schluter: Pseudoscorpions of the species Chordylochernes scorpioides live in tropical forests where they ride on the backs of harlequin beetles to reach rotting figs where they feed. Females of the species are promiscuous and mate with multiple males over short lifetimes. It is unclear what advantages there are for a female to mate multiple times, because the males don't help to care for her young, and mating just once provides all the sperm she needs to fertilize her eggs. One possible advantage is that the sperm of some males is genetically incompatible with a given female and, by mating multiple times, a female increases the chances of mating with at least one male whose sperm is compatible with her. To…
How does water flow through a sponge?
Mid-career Salary (in thousands of dollars) (y) Yearly Tuition (in thousands of dollars) (x) 21 87 21 72 33 92 19 83 17 68 19 98 13 57 31 102 14 58 26 101 11 86 15 45 x: 21, 21, 33, 19, 17, 19, 13, 31, 14, 26, 11, 15 y: 87, 72, 92, 83, 68, 98, 57, 102, 58, 101, 86, 45 1. Find the best fit line for the data. y = + 2. Graph the scatter plot of the data together with the best fit line using R. (This portion of the problem is not graded.) 3. Predict the mid-career salary of a student attending a college with an annual tuition of $33 thousand. %24 thousand