Answer the questions below. (a) How many different committees of size 4 can be formed from 15 people? (b) A company has 33 salespeople. A board member at the company asks for a list of the top 3 salespeople, ranked in order of effectiveness. How many such rankings are possible?

Q: How many ways can you choose first, second, and third place winners from 15 people?

A: The first place winner can be chosen as 15 ways. The second place winner can be chosen as 14 ways…

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: Listed in the table below are the selling prices, number of bedrooms, number of full baths, and…

A: From the information, given that Let Y denotes the sale priceLet X1 denotes the number of…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: 2. A manager samples the receipts of every fifth person who goes through the line. Out of 50 people,…

A: Given that, No.of people had a mispriced items = 4 Total no.of peoples = 50 The probability that…

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: 6. Carter has a large marble collection. Carter knows that he has exactly 20 blue marbles in his…

A: The task is to determine the population size givensample size and the total number of blue marbles…

Q: At a pow-wow, 98 families came to participate in the ceremonies. A coordinator of the pow-wow took a…

A: Given survey:19 families brought food, costumes, and crafts;31 families brought food and crafts;53…

Q: A group of 107 people were polled about their common means of transportation. Fifty of them said…

A: We use the Venn diagram to solve the given question.

Q: In a trial of a new allergy​ medicine, 85 people were given the medicine and 85 were given a…

A:

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A: From the given information, the number of candidates selected for an interview (n) is 8 and the…

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

A:

Q: How many different ways are there to select a group of 3 out of 7 people for a cyber-sport team with…

A: If a process is done in two phases in which the first phase can be done in m ways and the second…

Q: How many ways can 4 people sit in a row of 7 chairs? The number of ways 4 people can sit in a row of…

A: Given: number of chair (n)=7 number of people (x)=4

Q: The Bengie Beverage Company is entering the sparkling beverage market and wants to know if beverage…

A: From the given information, the claim of the problem is that the four beverages are equally likely…

Q: Identify Subproblems On a airplane that is two- thirds full, 20% of the passengers are boys, one-…

A:

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

A:

Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: Complete the​ two-way table summarizing the reviews

A:

Q: A movie club surveyed  250  high school students. The students were asked how often they go to the…

A: Twice a monthor less Three times a monthor more Total Action 85 20 105 Drama 90 55 145…

Q: An addictions researcher wants to see if male and female alcoholics differ in the type of alcohol…

A: Part a: We have two independent categorical variables gender (Male and Female) and the beverages…

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.