The model of the car you are thinking of buying is available in 5 colors, 3 styles, with or without a sunroof, and with or without AC.  In how many different ways can you order the car with regard to these options?

Q: The car you are interested in has 20 color options, 6 engine choices, and 5 entertainment system…

A: See the attached solution below.

Q: Suppose we want to choose 2 objects, without replacement, from 3 objects pencil, eraser and desk .…

A:

Q: There are 10 guests at your home for a dinner party. In how many ways could the guests arrange…

A:

Q: How many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that…

A:

Q: 10 samples of different cakes are on display as customers leave a store, theyare told that they can…

A: When r number of objects are selected from total n number of distinct objects then the total number…

Q: There are 10 boys and 6 giris. How many ways are there of forming a group of either 3 boys or…

A: We have given that  There are 10 boys and 6 girls. Total number of girls and boys = 16   Combination…

Q: How many different ways are there to order a three-flavor hot fudge sundae, given that there are…

A:

Q: 3. At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop…

A: Answer - At Wingstop,  customers ordering a family meal can choose 4 different wing flavors.…

Q: How many ways can 3 DVDs be selected for playing if they are to be chosen from 8 different DVDs?…

A:

Q: 15. At a hospital, the dinner menu consists of 4 choices of entrée, 3 choices of salad, 6 choices of…

A: Given :          At a hospital, the dinner menu consists of 4 choices of entree, 3 choices of salad,…

Q: Suppose we want to choose  3  colors, without replacement, from the  4  colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple.  and we need  to choose 3 colors without…

Q: An auto dealer offers a compact car, a midsize , a sport utility vehicle, and a light truck each…

A: Number of types of cars = compact car, midsize , sport utility , light truck = 4 Types: standard ,…

Q: There are 50 students in a class and three of them will be in a student government, either as…

A: Total number of students = 50

Q: How many ways can a baseball coach arrange the order of 9 batters if there are 13 players in the…

A:

Q: ne people on a basketball team show up for a game a) How many ways are there to choose 5 players to…

A: We solve the problem by permutation and combination concept.

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

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

Q: Seven parking spots in a row are available for a display of new cars at a dealership. If an employee…

A:

Q: There are many choices to make when buying a new car. For a specific model of a new​ car, choices…

A: To buy a new car we have different choices for the model, as given : Roof(3) Exterior color(12) Seat…

Q: A catering service offers 5 appetizers, 4 main courses, and 6 desserts. A customer is to select 4…

A: Given: Number of appetizers=5Number of main courses=4Number of desserts=6 It is also provided that,…

Q: Suppose we want to choose 2 colors without replacement, from the 4 colors red,blue,green, and…

A: a.Find the number of ways in which 2 colours can be chosen among the 4 colours without giving…

Q: There are 10 different software packages from which to select. How many different groups of software…

A: Given: n=10 r = 3 The number of different groups of software packages that can be selected can be…

Q: 7 high school classes will be chosen to participate in a school activities survey. There are 23 high…

A:

Q: (a) How many ways are there to choose 5 numbers if order is not important? There are ways to choose…

A: We have given that a lottery game requires that 5 different numbers are picked from 1 to 12.

Q: A new car model is available with 5 choices of color, 3 choices of transmission and 4 types of…

A: From the provided information, A new car model is available with 5 choices of color, 3 choices of…

Q: The number of distinct arrangements of all the letters in the word BAMBOO is

A: Here we use the formula The number of distinct arrangements of all the letters is =((total number of…

Q: Seven marching bands will be playing in the local Christmas parade. How many ways can the parade…

A: Given  marching bands number=7

Q: A pizza restaurant offers the following toppings: onions, peppers, mushrooms, ham, anchovies,…

A: Number of arrangement of data can be studied using two methods. They are permutation and…

Q: You have 7 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

A: no.of adult emus=7no.of juveniles emus=6

Q: the car your are interested in has 6 colors options, 3 engine choices, and 4 entertainment systems…

A:

Q: 20 persons are sitting around a table. How many ways can we choose 3 persons, no two of whom are…

A: Obtain the number of ways of choosing 3 persons, no two of whom are neighbors. The number of ways of…

Q: A catering service offers 4 appetizers, 11 main courses, and 9 desserts. A customer is to select 2…

A: It is given that Number of appetizers = 4 Number of main courses = 11 Number of desserts = 9

Q: There are 13 guests at your home for a dinner party. In how many ways could the guests arrange…

A:

Q: Derek, Abdul, Bernard, and Suzie are playing hide-and-seek and taking turns being 'it'. In how many…

A:

Q: You are burning a CD for your assignments. You have assignments of 15 different topics. However, you…

A: Note: Hi there! Thank you for posting the question. As there are multiple questions, according to…

Q: An English class consists of twenty students, and three are to be chosen to give speeches in a…

A: a. The order of the speakers is important. P320=20!20-3!=20!17!=20×19×18×17!17!=6840

Q: 8) For a segment of a radio show, a disc jockey can play 6 songs. If there are 12 songs to select…

A:

Q: how many ways can three items be selected from a group of six items? use the letters A, b,C, D, E,…

A: The given information is that the sample size is 3 and population size is 6.Here, order does not…

Q: 5 elementary classes will be chosen to participate in a school activities survey.  There are  23…

A: The possible ways can be calculated using the combination formula: In this case, n=23 r= 5

Q: How many ways can you choose 5 out of 10 friends to invite to a dinner party?

A: To solve the problem of combinations (selections) in the given scenario.

Q: many different ways can the letters in the word wireless be a

A: Total number of letters in the word wireless = w I r e l e s s = 8 Here, the letter e repeats 2…

Q: A basketball coach is deciding on his starting five players. He has a roster of ten players to…

A:

Q: A class has 35 students. In how many different ways can five students form a group for an​ activity?…

A: It is given that N is 35 and r is 5.

Q: How many different arrangements of the word PARRAMATTA are possible?

A: The given word is PARRAMATTA

Q: You are burning a CD for your assignments. You have assignments of 9 different topics. However, you…

A: Permutation Rule: The ordered arrangement of r objects from n different objects is given by:

Q: class has 28 students. In how many different ways can five students form a group for an​ activity?…

A:

Q: At a fine dining restaurant, the "Ultimate Dining Experience" allows the customer to select a glass…

A: There are 5 choices for a glass of wines, 5 choices for appetizers, 3 choices of salads, 9 choices…

Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A: We know that number of ways of selecting r things out of n things = Crn There are 12 samples of…

Q: An English class consists of twenty-three students, and three are to be chosen to give speeches in a…

A:

Q: In a certain pizzeria there are 5 toppings. How many combinations can you make with these 5…

A: We have to find number of combinations possible.

Q: The car you are interested in has 16 color options, 3 engine choices, and 6 entertainment system…

A: Given ,  The car you are interested in has 16 color options , 3 engine choices , and 6 entertainment…

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.