president, a treasurer and a secretary are to be chosen in an organization having 30 members. How many different choices of officers are possible if a certain group of 3 members insist on serving together or

president, a treasurer and a secretary are to be chosen in an organization having 30 members. How many different choices of officers are possible if a certain group of 3 members insist on serving together or

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 6ECP: A coin club has five members. In how many different ways can there be a president and a...

See similar textbooks

Related questions

Q: 4. r=-0.2969 and n= 10 Find Σα

Q: What is the P-value? P-value = (Round to four decimal places as needed.) What is the conclusion on…

Q: he weight of the package is normally distributed with a mean of 650 g and a standard deviation of 42…

A: Given that The weight of the package is normally distributed with a mean of 650 g and a standard…

Q: Weekly Wages less than (Rs.) : 20 40 60 80 100 No. of workers 41 92 156 194 201 For the data given…

Q: Example 31. Plot Less than Ogive and More than Ogive for the following data: Cost of production 4- 6…

Q: Two coins are tossed. Find the probability of tossing each of the following events: 1. One head and…

Q: Q. 26 What is the principle of least squares ?

A: We have the following statement about the Principle of least squares.

Q: 1. Let p, q and r be the propositions: p: Peter exercises regularly. q: Peter goes to bed at 9.00…

A: The following information has been given: Let p, q and r be the propositions. p: peter exercises…

Q: A rivet is to be inserted into a hole. A random sample of n = 15 parts is selected and the hole…

Q: Task: Consider a population consisting of the following data: 3, 5, 7, 9. 1. Solve for the…

Q: The city of San Fransokyo is a high-tech city, especially in the field of robotics. There are three…

A: Let A be an event and Bi be a set of mutually exclusive and exhaustive events. Then ,…

Q: 8. Heights of fathers and sons are given in inches. Height of father.r: Height of son: 65 66 67 68…

Q: A sample of size n=54 is drawn from a normal population whose standard deviation is o=5.4. The…

A: GivenMean(x)=41.53standard deviation(σ)=5.4sample size(n)=54

Q: If you draw one card from a standard 52 card deck. What is the probability of NOT drawing a P(not 2)…

A: Given that There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: Suppose that the link speed is 8 Mbps, the demand bandwidth of each active user is 1000Kbps. The…

A: Solution: From the given information, the link speed is 8Mbps and the demand bandwidth is 1000Kbps.…

Q: A bakery sells 10 types of pies: apple, cherry, blueberry, strawberry, peach, key lime, pumpkin,…

A: c) If at least 2 apple and 1 cherry pie are chosen already then 3 spots are already pre selected ,…

Q: Use the results from a survey of a simple random sample of 1023 adults. Among the 1023 respondents,…

A: a. It is given that, among the 1023 respondents 79% rated themselves as above average drivers.

Q: Refer to the Venn diagram for events a abs B in an equally likely sample space S. Find the indicated…

Q: For a segment of a radio show, a disc jockey can play 9 records. If there are 14 records to select…

A: For a segment of radio show, a disc jockey can play 9 records.If there are 14 records to select…

Q: Explain the Central Mortality Rate.

Q: -Assuming equal sample size (m = n) and A' = -0.25, what should e sizes be if we want to detect such…

A: Given information: Denote the population proportion as p. The confidence level is (1–α) = 90%. From…

Q: In this exercise, we will assume a "hand" consists of 1 card drawn from a standard 52-card deck with…

Q: what is the conventional minimum power a study should have? For a study with this minimum power,…

A: Power of the test is defined as the probability of rejecting the null hypothesis, when the…

Q: (a) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean…

A: (a) Population mean (μ) = 524 and standard deviation (σ) = 111 and sample size (n) =100 Note:…

Q: The probability of tails landing up when you flip a coin is 1/2 . What is the probability of getting…

A: Given,Probability of tails landing up when you flipa coin is (P(T))=12.

Q: Answer the following questions: 1. How many students joined the Math Camp? 2. How many students…

A: Here use given venn diagram

Q: a. A coin is tossed 3 times. Find out the number of outcomes. b. In how many ways can the letters of…

A: here use counting principle

Q: How many ways can the 7 flowers be chosen?

A: We have given that Total number of flowers = 18

Q: 4. Find the mean of the following distribution number of students present in the class o different…

Q: 2. How many distinct permutations can be formed from all the letters of the word THREE?

Q: 1. Make a Venn Diagram to illustrate the result of The survey. 2. How many students like basketball?…

A: here as per policy i have calculated 3 subparts Here define events , Basketball = B Soccer = S…

Q: Construct a probability distribution for the data below and draw a histogram of the distribution.…

A: We know that the A probability distribution is a statistical function that describes possible values…

Q: 33 Given the z value, find the are under the normal curve for the given parameter: To the left of z…

Q: selected such that at least one boy should be there? b. From a group of 7 men and 6 women, five…

A: The study of probability provides a mathematical framework for such assertions and is essential in…

Q: In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways…

A: The number of numbers chosen by player is 5.

Q: In an event, 1500 fans of SVT gathered to show their support for the group. 450 of them are from…

A: VIII Given : If two distinguishable dice is rolled then possible sample space:…

Q: - Determine the mode graphically from the following series: Week wages in Rupees Number of workers…

Q: 31 An instructor gives an exam with ten questions. Students are allowed to choose any 5 to answer.…

Q: Eхатple 4 Locate the mode graphically for the given frequency distribution. С. I. : 10-20 40-50…

Q: The owner of a stereo store wants to advertise that he has many different sound How many different…

Q: For a segment of a radio show, a disc jockey can play 8 records. If there are 13 records to select…

Q: 1. Obtain the regression of Y on X a is 50. 'from the following table and estimate the blood…

Q: Example 2 The following table represents no of Road accident in Bangalore city. Years: 1995 1996…

Q: 80% of students pass Chemistry 101. Knowing this, Manuel didn't study for the midterm and ended up…

A: From the given information, 80% students pass chemistry 101. So, the remaining 20% fails chemistry…

Q: In a survey of 700 random households in a particular city in NCR, adults have been 2) asked if they…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: If Z is a standard normal variable, find the probability. The probability that z is less than 1.13…

Q: . If X is a normally distributed random variable with a mean of 235 Find the standard deviation…

Q: a. What is the probability that a person chosen at random purchases Brand X and is under 30 years…

A: here use given table here use basic probability and bayed rule probability = #favorable…

Q: A target is constructed of a 10 ft diameter circular piece of plywood, on which a 2 ft diameter…

Q: A die is rolled once. What is the probability of obtaining a 4? * 3/6 1/5 1/6 2/5

Question

A president, a treasurer and a secretary are to be chosen in an organization having 30 members. How many different choices of officers are possible if a certain group of 3 members insist on serving together or not at all?

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

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink. If there are four main courses, three desserts, and six drinks to pick from, in how many ways can a customer select a meal consisting of one choice from each category?
A coin club has five members. In how many different ways can there be a president and a vice-president?
There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president, vice president, and treasurer be elected?
Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?
In Example 10, the team must consist of six boys and six girls. How many different 12-member teams are possible?