In designing a new home entertainment​ center, there is a choice of 5 different​ TVs, 6 different​ amplifiers, and 6 different speaker sets. How many different systems can be​ designed?

Q: How many ways can 12 knights be arranged around a roundtable?

A:

Q: How many ways are there to pick one employee as president of the union, and then k different…

A: Given : N employees  We need to pick one member as president  K different as leadership council.

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: In how many ways can 3 students from a class of 15 be chosen for a field trip?

A: Total number of students in a class = 15  Number of students chosen for a field trip = 3 The formula…

Q: From a committee of 15, how many ways can we select a President, Vice President, Secretary, and…

A:

Q: How many different ways a president and a vice president  can be selected from a group of 1414…

A: Total number of candidates = 1414. No. of candidates to be selected =2. Here, while appointing…

Q: How many ways can a course and schools are chosen? ​

A: Courses={Science, Math}  =2 Schools={UP DLSU,ADMU}=2

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

A: The number of persons is 5.

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president,…

A: This question is related to permutation and combination. The solution is given below

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A:

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: How many ways may 5 students be elected from a club with 45 members?

A: Total number of students = 45 Number of students to be selected = 5

Q: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different…

A: Let, N be the number of different available plansFirst operation (choice of home design) can be…

Q: In a student organization, there are 11 freshmen, 8 sophomores, 19 juniors and 24 seniors. 1. How…

A:

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: The Create-a-Cat Store allows customers to create their own personal cat stuffed animal. Customers…

A: Given that there are 3 sizes, 6 color choices of fur, 3 colors of eyes, 5 colors of kitty sweaters.…

Q: There are 7 highway routes from City A to City B, 9 highway routes from City B to City C, and 5…

A: Concept :  Fundamental principal of counting : If there is m ways to do one thing, n ways to do…

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

A:

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

Q: Suppose a club has 20 members. a. How many ways can they select a chairperson to lead a small…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: 7. Given 10 different English books, six different French books, and four different German books,…

A: Given Data: n(English)=10 n(French)=6 n(German)=4 Total=20

Q: How many different breakfasts can you have at the local diner if you can select 4 differe dishes…

A: The number of ways is given by n = 4 x 4 x 5 x 7 x4 n = 2240

Q: A company has 10 members on its boards of directors. In how many different ways can they elect a…

A: The total number of board of directors = 10. The officers need to be elected = 4 (President,…

Q: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize…

A: We have to select a first-prize winner, a second -prize winner and a third-prize winner form 50…

Q: In how many different ways can 17 faculty members form a panel consisting of a​ Chair, a Vice​…

A:

Q: Is 10 appetizers, 5 maln courses, and 11 desserts. A customer is to select 3 appetizers, 3 main…

A:

Q: how many diffrent seating arrangements are possible for king arthur and his 12 knights around their…

A: The number of ways, n items can be arranged around a circular table is equal to (n-1)! . The formula…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: n a club with 10 members, how many ways can a slate of 3 officers consisting of president,…

A: We have given that,  Total number of members in a club = 10 To choose  3 officers consist 1…

Q: A group has 12 members. In how many ways can 4 officers consisting of president , vice-president ,…

A: Total members n=12 no of officers r=4 Total no of ways=?

Q: In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are…

A: As per guidelines expert gave to answer first question only

Q: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

A:

Q: The Choi family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: Explained below

Q: n how many ways could a club of 19 members choose a president, vice president, and treasurer?

A: The club has 19 members. To find the number of ways to choose a president, vice president, and…

Q: 2.A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Permutation is a branch of mathematics which deals with the number of ways in which certain objects…

Q: ow many ways can the positions of center midfielder, striker, and center back be assigned from the…

A: In a soccer team of 10, there will be 2 strikers, 2 mid fielders and  2 center backs.

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: many

A:

Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

A:

Q: How many different ways can 6 identical hardback books, 3 identical paoerback books, and 3 identical…

A: Given that there 6 identical hardback books, 3 identical paperback books and 3 identical boxed…

Q: How many different ways a president and a vice president  can be selected from a group of 20…

A: Combination is a method in mathematics that is used to calculate the number of way certain objects…

Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: Given 10 different English books, 6 different French and 4 different German books, how many ways are…

A: Given 10 different English books 6 different French books 4 different German books

Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

A: