As a television executive, you have been given 19 shows to choose from to run during your prime time slots each week. If you have to choose 6 shows to run on your network, how many ways can you choose which shows to pick up?

Q: At a furniture store, there a 4 different sizes of sofas, 7 different colors of fabric , and 8…

A: Given that, No.of  different sizes of sofas = 4 No.of different colors of fabric =7 No.of different…

Q: A bride is choosing a dress for her bridesmaids. If there are 2 styles, 5 colors, and 3 fabrics, in…

A: Given that  A bride is choosing a dress for her bridesmaids. Number of styles = 2 Number of colors =…

Q: How many ways are there to pick three dipping sauces, if you can pick three of the same?

A:

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

A:

Q: Out of a group of eight students serving on the Student Government Association, how many different…

A:

Q: in a physiology class, a student must dissect three different specimens. The student can select one…

A: This question can be solved using the concept of combination.

Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

Q: In a club of 15 people, we need to choose a president, vice-president, secretary, and treasurer. In…

A:

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: The table d'hote (complete meal) at a french restaurant consists of a salad, enree, and a dessert.…

A: There are 2 salad choices, 5 entrée choices, and 3 dessert choices.

Q: There are 6 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that there are 8 women and 6 men

Q: The math club needs to select a President, Vice President, Treasurer and Secretary from their 20…

A:

Q: There are 6 women and 9 men signed up to join a swing dance class. In how many ways can the…

A: Given Information: There are 6 women and 9 men signed up to join a swing dance class. We are asked…

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

Q: on the 12 chefs hat you own, you only have room to pick 5, how many different collections of chefs…

A: Given  Total chefs hat = 12 To pick number of room = 5 To find different collections of chefs hat…

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 4 colors, and 5 fabrics, in…

A: Given that, Number of styles = 3 Number of colors = 4 Number of fabrics = 5

Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

Q: If there are 10 multiple-choice questions on an exam, each having three possible answers, how many…

A: From the provided information, There are 10 multiple-choice questions on an exam. Each question has…

Q: A restart offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entree,…

A: We have given that for dinner special the number of choices for appetizer 5, for entree 12 and for…

Q: A college golf team consists of four players who are ranked from 1 through 4. If a golf coach has…

A: Given that a college golf team consists of four players who are ranked from 1 through 4.

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 5 colors, and 4 fabrics, in…

A: Given: Styles = 3 Colors = 5 Fabrics = 4 The number of ways that she can select the bridesmaids…

Q: As a television executive, you have been given 24 shows to choose from to run during your prime time…

A:

Q: A bag contains 15 pieces of candy. In how many ways can four pieces be selected?

A:

Q: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

A: Given : Total number of friends = 5 Number of friends can bring = 3

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: There are 5 men and 7 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that : There are 5 men and  7 women auditioning to be in the school play.  Total cast  = 5+7 =…

Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different out he must wear…

A: From the provided information, A boy owns 3 pair of pants, 1 shirt, 7 ties and 5 jackets.

Q: In a local club composed of 27 people, how many ways can 1 president, 1 vice President, 1 secretary…

A: Total number of people composed = 27

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

Q: There are 4 men and 7 women auditioning to be in the school play. Answer the following questions:…

A: The number of ways 2 women , and 2 man can be selected from 4 men and 7 women is,…

Q: How many different meals are possible from a menu if you choose one each of 5 appetizers, 4 entrées,…

A: Given data : Number of appetizers= 5 Number of entrees= 4 Number of desserts= 3 Number of beverages=…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A:

Q: There are five action, three drama, and four comedy films showing at a local  mall. If Phoebe goes…

A:

Q: Your sister is shopping at an exclusive Rodeo Drive clothing store and examines 4 distinct blouses,…

A: It is given that there are 4 distinct blouses, 5 distinct dresses, and 2 distinct handbags. Since,…

Q: A business has 26 applicants for a job. How many ways can they pick 7 of the applicants to…

A: A business has 26 applicants for a job. To find how many ways can they pick 7 of the applicants to…

Q: As a television executive, you have been given 22 shows to choose from to run during your prime time…

A: Total number of shows Available n = 22 Total shows to be selected r = 12

Q: A dance club needs 3 new members. If there are 5 males and 9 females applicants, in how many ways…

A: Solution

Q: If a club consists of 8 members, how many different arrangements of president, vice-president, and…

A: Given that Number of memebers in a club =8 To find number of different arrangements of…

Q: Ifa restaurant menu offers 7 appetizers, 6 main courses, and 11 desserts, how many different meals…

A:

Q: 14 people try out for a basketball team, how many different ways are there to select 5 players if…

A: Given information: Total number of people who try out for a basketball team(n)=14. Number of…

Q: There are six men and seven women in a ballroom dancing class. If four men and four women are chosen…

A: Given:  Total No of Men=6 Total No of Women=7 Formula used: The formula for combinations is given…

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

A:

Q: There are 5 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given : Number of men = 5 Number of women = 8

Q: A restaurant offers a choice of 4 salads, 13 main courses, and 6 desserts. How many possible…

A: Permutation and Combination: The different methods in which objects from a set could well be…

Q: If you pick 4 cards without replacement from a standard deck of 52 cards, how many different…

A:

Q: In a company, you need to pick from your employees to be the manager, the supervisor, the…

A:

Q: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…

Q: As a television executive, you have been given 8 shows to choose from to run during your prime time…

A: Total number of shows available = 8 Available time slot = 6

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.