Transportation In a train yard, there are 12 flatcars, 10 tanker ears, 15 boxcars, and 5 livestock cars. a. If the cars must be connected according to their final destinations, how many different ways can they be arranged? |42 b. How many ways can the train be made up if it is to have 30 cars? c. How many trains can be formed with 3 livestock cars 6 flatcars, 6 tanker cars, and 5 boxcars?

Q: In Drumheller, Alberta, the town host an annual parade on July 1st to celebrate Canada Day. The…

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Q: B. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that…

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

A: We are interested in the number of different ways in which we can select 4 out of 35 studentsn=35…

Q: A merchant surveyed 330 people to determine the way they learned about an upcoming sale. The survey…

A: Use the following formulae, to obtain the solution.…

Q: Seating in a Movie Theater How many different ways can 5 people-A, B, C, D, and E-sit in a row at a…

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Q: a. no three digits are to be the same? b. the number must be odd? c. the number must be even?

A: here given  5 digit number formed from the digits 1,2,3,....9  so there are 9 digit available for…

Q: 8. A school class is holding a raffle and 10 prizes are to be awarded. One hundred twenty people…

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Q: 6. A group of college students consists of 5 seniors and 6 juniors. (a) How many teams of 3 can be…

A: (a) In the group there are total 5+6 = 11 students.      From them, we need to chose 3 to form the…

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: ow many different letter arrangements can be made from the letters in the word of COMMUNICATION ?…

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Q: . In how many ways can the letters of the word greengate be arranged? (b). A class has 10 students.…

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Q: you have 50 different songs: 20 by artist A, 8 by artist B, and 22 by artist C. a). how many…

A: a) There is total 50 different songs, among which 20 by artist A, 8 by artist B and 22 by artist C.

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

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Q: In each of the parts below, the coins available are half-dollars, quarters, dimes, nickels, and…

A: This question can be solved using permutation and combination.

Q: 18. A woman has 10 close friends. Find the number of ways in which she can invite 4 of them to…

A: Given data: The total numbers of friends are n=10. The numbers of friend invite to dinner are r=4.…

Q: A shopping center includes a grocery store and a drug store. One afternoon, a total of 200 people…

A: Total No. Of people = 200 Visited Grocery shop= 124 Visited Drug store =88  Visited both = 26 We…

Q: 1. Ten people (5 men and 5 women)are attending a dinner party. In how many ways can they be arranged…

A: Ten people (5 men and 5 women)are attending a dinner party.

Q: 81. Hockey Lineup A hockey team has 20 players, of whom 12 play forward, six play defense, and two…

A: A hockey team has 20 players, of whom 12 play forward, six play defense and two are goalies. In how…

Q: 5. License plates consists of three letters fllowed by three numbers. How many different license…

A: Licensed plate consists of 3 letters, followed by 3 numbers. No repetition,  a) The three digit…

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: Six performers are to present their comedy acts on a weekend evening at a comedy club. One of the…

A: We can pick the last position in 1 way only.  When the last position is fixed then we can select the…

Q: All students in the 6th grade either purchased theirlunch or brought their lunch from home on…

A: Solution: The objective is to find how many students are in the 6th grade

Q: At the flower shop, Maggie is making a bouquet from asters, dahlias, irises, roses and…

A: Maggie needs to form a bouquet consisting of 9 flowers, taking flowers out of 5 given types of…

Q: 3. In how many ways can the letters in "HOUSE" be arranged if а. there are no restrictions? b. the…

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Q: . Beth has 8 friends. How many ways can she invite one or more of them to dinner?

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Q: 14. The four women Anne, Betsie, Charlotte and Dolores and the six men Eric, Frank, George, Harry,…

A: Permutation: When the arrangement of the objects or numbers in an order matters then, this is called…

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: Kim, Dan, and Pat are finalists in a talent contest. How many different ways can Kim, Dan, and Pat…

A: Given data, Only one position for First place and only one position for Second place in a contest.…

Q: w many different ways ur people - Ana, Becky, ia, and Ema- sit in a row eats at a movie theatre a…

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Q: 8. A school class is holding a raffle and 10 prizes are to be awarded. One hundred twenty people…

A: We will answer the first three sub questions as per our guideline. Please resubmit the other…

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

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

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Q: In an English literature course, the professor asks students to read three books by selecting one…

A: It's given that

Q: 12. A the speakers be arranged? 4. Visiting Nurses How many different ways can a visit- ing nurse…

A: It is given that the nurse can visit any one of the 9 patients. Selects one patients that is9!/…

Q: Assume that the camper has 4 jackets, 4 sleeping bags, and 11 different packages of food. An outfit…

A: Given information- We have given that the camper has 4 jackets, 4 sleeping bags, and 11 different…

Q: a) In how many ways can the choreographer choose the dancers if the company has 20 dancers? 24…

A: here use combination

Q: Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress…

A: He can pick a shoe in 3 ways, a boot in 4 ways, a jeans in 8 ways, a dress pant in 9 ways, a dress…

Q: There are 58runners in a race. How many ways can the runners finish​ first, second, and​ third? How…

A: From the provided information, There are 58 runners in a race. The runners finish first, second and…

Q: Ten members of a wedding party are lining up in a row for a photograph. (a) How many ways are there…

A: (a) Compute the number of ways to line up ten people as follows. It is known that the number of ways…

Q: a dinner gathering. In how many ways can the host (one of the 12) arrange his guest around a dining…

A: To find:  1.Number ways can the host arrange his guest around a dining table. 2.Number of ways three…

Q: . A donut shop has 8 different types of donuts available. a) How many different ways are there to…

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Q: 14. An architect designs a theater with 15 seats in the first row, 18 in the second, 21 in the…

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Q: Nine students booked a room in a hotel. They should be accommodated in two 3- bed and one 2-bed…

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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: A school class is holding a raffle and 10 prizes are to be awarded. One hundred twenty people enter…

A: Solution is in next step

Q: 2. A customer at a pizza shop wants to order a pizza. A pizza consists of choosing a crust, a type…

A: Given: The pizza has 4 types of crust, 5 types of cheese, and 20 toppings

Q: 02)• 20 students and the dean came to the cinema and want to sit in the same row, in which there are…

A: Given that, 20 students and the dean came to the cinema and want to sit in the same row, in which…

Q: A horse race has 12 horses. i) How many dierent ways can the podium be arranged? (The podium has a…

A: There are 12 horses. I place choices are 12; II place choices are 11; and III place choices are 10.…

Q: Five Filipino, four Canadians, and four Brazilians are to sit at a circular table. In how many ways…

A: The permutation is used to calculated the number of arrangement in an ordered way, it is denoted as…

Q: There are 6boys who enter a boat with 8 seats in how many ways can they sit anywhere.

A:

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.