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: Wellstone Inc. produces and markets replacement covers for cell phones in five different colors:…

A: Hey there.! thank you for posting your question. Hope you’re doing well. Since you have posted…

Q: How many possible meals are there?

A: here use fundamental of counting principle   The school canteen offers the following choices for…

Q: A company conducted a marketing survey of its clientele and found that 160 own an iPhone and 89 own…

A: Given that, A company conducted a marketing survey of its clientele and found that 160 own an iPhone…

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: Among employees at Daly Developers Ltd, 80% use R, 60% use Python, and 50% use both. What proportion…

A:

Q: In how many ways can an adviser assign a different task to 9 students from a class of 15?

A: Here we need to assign a different task then we would use combination.   Combination formula: C(n,r)…

Q: The average age of a group of students is 12 years old. There are only 11-year- olds and 14-year…

A:

Q: 3. My parents just started their digital music collection. If they have put cd's by 4 different…

A: 3) Given, Parents have put cd's by 4 different groups on their mp3 player. We have to find how many…

Q: In a race of 24 people, the top 8 are awarded different amounts of prize money, with first receiving…

A: Permutation: The number of different arrangements of ‘r’ elements (order matters) from a set of ‘n’…

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

Q: How many ordered lists are there of two items chosen from twelve?

A:

Q: How many ways are there to choose 3 applicants from 8 job-seekers for high-paying positions in an…

A: Given information- We have given that in an engineering company 3 positions are there and 8…

Q: Suppose at a particular restaurant you have three choices for an appetizer (soup, salad or…

A:

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: How many pupils do not like any of the snacks?

A:

Q: How many different ways can Davis select 3 pieces of fruit from a group of 7 pieces of fruit?…

A:

Q: We survey 200 students, and ask each whether they like donuts, pizza, and/or tacos. Every student…

A:

Q: If you can choose one item from a group of M items and a second item from a group of N items, then…

A: we have chose 1 item from a group of M items  and second item from a group of N items

Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

Q: How many ways are there to choose an arbitrary number of students (including the possibility of…

A: by using C(n,r)=n!(r!(n−r)!)

Q: In how many ways can a row of three contestants for a TV game show be selected from an audience of…

A:

Q: A survey of 130 freshmen business students at a local university produced the results listed below.…

A: A survey of 130 freshmen business students at a local university produced the results listed below.…

Q: From a survey of 100 students, 95 indicated that they were studying at least one of the three…

A: Given that, 100 students participated in survey and 95 indicated that they were studying at least…

Q: Among 120 pupils, it came out that 40 like both biscuits and toffees, 16 like neither and twice as…

A: Given: total no of people=120 No. of people who like neither biscuits and toffees=16 No. of people…

Q: a survey of 150 freshman business students at a local university produced the results listed below.…

A: 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and…

Q: Six different picture packages are available for school portraits at Craldo's school. The cost of…

A: We are given the following table. For (a), Let x is denoted for the cost of 8x10 and y for the cost…

Q: At the beginning of 2002, an ice cream shop claimed to have "nearly 1,050 different ice cream…

A:

Q: Answer the following questions about Mario, Luigi, Toad, Toadette and Princess Peach.   (A) How many…

A: A) There are 5 of them.  The first position can be filled in 5 ways The second position in 4 ways,…

Q: In a math class with 12 students, the teacher wants to assign homework problems 1, 3, and 5 on the…

A: We have to find no. Of ways ....

Q: The Restaurant Association sponsored a Taster's Choice evening in which restaurants set up booths…

A: The solution to the  system of equations can evaluated using the matrix form AX=B. The solution to…

Q: A company has 14 employees, and wants to create a team of 4 employees to work on a new project. The…

A: Combination formula is given by

Q: How many drank alcohol regularly and smoked cigarettes, but did not use illegal drugs? How many…

A:

Q: From a survey of 100 college students, a marketing research company found that 50 students owned…

A: Given form a survey of 100 college students a marketing researchcompany found that 50 student…

Q: In a class of 100 students, 42 students like Economics and 56 students like Art. 10 students don't…

A: Denote:  E: likes Economics A: Likes Arts AUE: Likes Economics or Arts A∪E: Likes Economics and Arts…

Q: How many ordered lists are there of two items chosen from five?

A: To find the number of ordered lists.

Q: From a group of 10 men and 5 women, how many committees of size 5 are possible? a.) With no…

A: Given From a group of 10 men and 5 women, how many committees of size 5 are

Q: How many ways can you select which nine players will be in the batting order on a 12- person team?

A: Total number of players = 12 Number of players to be selected =9

Q: 2. The following diagram shows how all the Grade Seven students of Koronadal National Comprehensive…

A: As per our guidelines we are supposed to answer only three subparts. Kindly repost other subparts as…

Q: The table shows the political party affiliations for a medium-sized neighborhood with 94 adults. If…

A:

Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

Q: How many ways can seven people be seated at a roundtable relative to the door of a room?

A: Number of people are = 7 The number of permutation of n elements in a circle is: P=n-1!

Q: Use the contingency table to solve the problem. Blood Type A B АВ Total Female 48 44 15 Sex Male 43…

A:

Q: If a student is to answer any six problems on a test consisting of nine problems, in how many…

A: Here the student is free to answer any 6 questions out of 9 problems.  So, we take the combination.

Q: how many ways can the committee be formed?

A: Given: 34 faculty members are present  We need to select a chair, vice chair , secretary and 5…

Q: A social scientist distributes surveys to two groups. The first group is asked to identify how many…

A: Given information: It is given that a social scientist distributed surveys to two groups.

Q: A restaurant offers a three-course meal with the following options available for each course:…

A: The provided information is  Choices of Appetizers: 8 Choices of Main course : 3 Choices of desserts…

Q: How many ways can 10 people line up if Joey and Sally cannot be next to each other? If the same…

A: here we have to use permutation ( arrangement )  Number of way r object can be arranged by taking…

Q: 1. How many more male students than female students are there? 2. How many total students are there…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: a. In order to be invited to the college world cup, teams must earn a score in the top 15% of all…

A: here given,  mean = 133.75  standard deviation  =  50.24 Y  =winning  score

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.