Four soups, three entrees, and two desserts are listed on the “Special” menu at the Neptune Restaurant. How many different selections consisting of one soup, one entree, and one dessert can a customer choose from this menu?

Q: L.A. Wedding Caterers offers a wedding reception buffet. Suppose a menu is planned around four…

A: There are 8 choices of salad from which 4 has to be chosen in 8C4…

Q: Seven men and seven women line up at a checkout counter in a store. In how many ways can they line…

A:

Q: Parks Committee: In the County of Eagleton, the City Council consists of 15 politicians: 7 of whom…

A: It is given that there are 15 politicians of which 7 are republican say R and rest which is 15-7=8…

Q: a reataurant patron is making a salad. his salad consist of just lettuce, or he can add any of the…

A: a reataurant patron is making a salad. his salad consist of just lettuce, or he can add any of the…

Q: . Nine people are going to travel for a party in two cars. The larger has 5 seats, and the smaller…

A:

Q: L.A. Wedding Caterers offers a wedding reception buffet. Suppose a menu is planned around three…

A:

Q: L.A. Wedding Caterers offers a wedding reception buffet. Suppose a menu is planned around five…

A: There are 8 different choices of salads, from which 5 different salads can be chosen in C58 ways.…

Q: Three men and three women line up at a checkout counter in a store. In how many ways can they line…

A:

Q: You would like to make a salad that consists of lettuce, tomato, cucumber, and onions. You go to the…

A: This question is based on Basic of permutation and Combination.

Q: (a). Three boys and three girls are seated at the round table. How many different arrangements are…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 18 involving the outfitting of a camping trip. Assume that the camper has 6 jackets, 6 sleeping…

A: Combination :  The number of ways to choose a sample of r elements from a set of n distinct objects…

Q: school dance committee is made up of 2 freshman, 6 sophomores, 2 juniors, and 2 seniors. How many…

A: A school dance committee is made up of 2 freshman, 6 sophomores, 2 juniors, and 2 seniors.

Q: 17 JCL Computers has five vacancies in its executive trainee program. In how many ways can the…

A: *As per the guidelines, only first question answered. Please repost remaining question separately.

Q: 5. Lunch Cart You want a sandwich, a side order, and a drink from a lunch cart that offers 4 types…

A: According to rule of combination the number of ways to select r number of elements out of total n…

Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

A:

Q: A club elects a president, Vice President, and secretary treasurer. How many sets of officers are…

A: We can answer the question as below.

Q: 3. A particular restaurant offers free meal for their anniversary. Out of 5 different kinds of…

A: Given :  Ways of selecting 2 kinds of drinks from 5 kinds of drinks = 5C2                 Ways of…

Q: 700 people went to the amusement park. 500 of them went on a roller-coaster, 100 of them went to the…

A: Let R=roller coaster  H=Haunted house W=water slides S=total 700 people Given, 2 people went on all…

Q: 1. each couple to sit together 2. all the men are to sit together 3. the men and women are to sit…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART PLZ REPOST FOR REMAINING PARTS  Four married…

Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

A:

Q: A catering service offers 8 appetizers, 10 main courses, and 7 desserts. A banquet committee is to…

A: Given that there are: 8 appetizers, 10 main courses, and 7 desserts Items need to be selected: 3…

Q: Committee: The Student Council at a certain school has eight members. Four members will form an…

A: The student council at a certain school has eight members. Four members executive committee…

Q: Parks Committee: In the County of Eagleton, the City Council consists of 15 politicians: 7 of whom…

A: GivenThe total number of politicians =15The total number of Republicans =7The total number of…

Q: Five paintings in an art gallery have the following names: "red," "seascape," "flower," "horse," and…

A: Given: Total number of names = 5 Number of names chosen without repetition = 3

Q: Committee: The Student Council at a certain school has seven members. Four members will form an…

A: Given that  Total member=n=7 Position filled=k=4 How many ways can these four positions be filled

Q: Pizza House offers three different​ salads, two different kinds of​ pizza, and three different…

A:

Q: A sandwich shop offers a "U-Chooz" special consisting of your choice of bread, meat, cheese, and…

A:

Q: 10 runners compete in a race. Prizes will be awarded to the 1st, 2nd, and 3rd runner. a) how many…

A:

Q: In how many ways can five couples be seated around a circular table if the couples insist of sitting…

A: Solution-: In how many ways can five couples be seated around a circular table if the couples insist…

Q: In how many ways can 4 boys and 4 girls be seated in a row  A. if the girls must be together B.  if…

A:

Q: A club has 10 seniors, 7 juniors, 8 sophomores, and 5 freshman. How many ways can the club choose a…

A: Provided information is, a club has 10 seniors, 7 juniors, 8 sophomores, and 5 freshman.

Q: A truck is carrying t-shirts. There are 94,375 boxes of orange tshirts, 37,045 boxes of yellow…

A: Given that, There are 94,375 boxes of orange tshirts 37,045 boxes of yellow t-shirts 7,857,975 boxes…

Q: A meal consists of a main dish, a side dish, and a dessert. How many different meals can be selected…

A: Givenno.of main dishes=5no.of side dishes=3no.of desserts=4

Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

A: Solutions

Q: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: It is given that, There are 4 tankers , 6 coal cars and 10  lumber cars.

Q: Four soups, five entrees, and four desserts are listed on the ''Special'' menu at the Neptune…

A: We have four soups, five entrees and four desserts. We have to make selections consisting of one…

Q: . A car rental company has a fleet of 7 trucks, 9 sedans, and 8 hatchbacks. If a retail franchise…

A: We have to find

Q: A catering service offers 6 appetizers, 10 main courses, and 4 desserts. A customer is to select  2…

A: Given : A catering service offers 6 appetizers, 10 main courses, and 4 desserts. A customer is to…

Q: In how many ways one can select a group of three students out of 6 boys and 4girls. If a group…

A: Given : Number of boys = 6 Number of girls = 4 we have to select a group of three students a) two…

Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A: Given : In a Mathematics department of school ; No. of women = 7 No. of men = 9 Sample size (n) = 6…

Q: 80. Casting a Play A group of 22 aspiring thespians contains 10 men and 12 women. For the next play,…

A: Permutations and combinations are the ways of selecting and arranging certain objects from a group…

Q: president, a treasurer and a secretary are to be chosen in an organization having 30 members. How…

A: 30 members, President, a treasurer and a secretary are to be selected.  If a certain group of 3…

Q: 87. Seating Arrangements In how many ways can four men and four women be seated in a row of eight…

A: Four men and 4 women supposed to arrange in a row. That there are total 8 persons supposed to…

Q: A designer has designed different​ tops, pants, and jackets to create outfits. How many different…

A: Given that A designer has designed different​ tops, pants, and jackets to create outfits.  We have…

Q: soups, four entrées, and four desserts are listed on the "Special" menu at the Neptune Restaurant.…

A: Given: n(soups) = 3 n(entrees) = 4 n(desserts) = 4 n(total) = 3 + 4 +4             = 11

Q: Five men and five women line up at a checkout counter in a store. In how many ways can they line up…

A: Consider the given: According to Question: Number of ways can five men line up at the counter =…

Q: . There are at most 35 children and adult in a bus. Each child paid 100 pesos and an adult 150 pesos…

A: Topic:-  basic maths

Q: At a meeting between coworkers, the eight participants sit on a round table facing the beach. There…

A: The number of ways in which n different objects can be arranged is given by n!, where…

Q: customer at a pizza shop wants to order a pizza. A one-topping pizza consists of choosing a crust, a…

A:

Q: L.A. wedding caterers offers a wedding reception buffet. I suppose a menu is planned around five…

A: To find how many menus for wedding are possible. Menu is planned around: 5 different salads(total…

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.