c) There are 5 airplanes ready to depart. Runway A and runway D are available. How Many ways can 2 planes be assigned to runways without using the sAme runway?

Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

A: For Que 1: The first department has 7 choices for the delegate and then 6 choices for the alternate,…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: There are 12 athletes joining the Marathon therefore the places can be chosen as follows: The first…

Q: Assume that the camper has 5 jackets, 5 sleeping bags, and 12 different packages of food. An outfit…

A: Given that the camper has 5 jackets, 5 sleeping bags and 12 different packages of food. An outfit…

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

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

Q: In how many ways can you arrange five books along a shelf, assuming that the order of the books…

A: Given  arrange five books

Q: If any seven digits could be used to form a telephone number, how many seven digit telephone numbers…

A: a) Given data, n=10 r=7 If any seven digits could be used to form a telephone number, how many seven…

Q: 5. a) How many 10-letter 'words' can be formed from the letters in SUC ESSFUL, if each letter can be…

A: Given word : SUCCESSFUL Number of letters = 10 Number of C = 2 Number of S = 3 Number of U = 2

Q: 10 books are to be arranged. (3 structural engineering books, 2 electrical design books and 5…

A: Given : Total number of books = 10 Number of structural engineering books = 3 Number of electrical…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

A:

Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways can…

A: Given: n=40 and r=5.

Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: From among the 36 teachers in a college, one principal, one vice-principal and the teacher-in-charge…

A: It is given that there are 36 teachers in a college. We have to appoint one principal, one…

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: Assume that the candle manufacturer has 7 types of round candles and 5 types of square candles…

A: Permutations and combinations: When one has to choose among a set of objects or people, then…

Q: 1. Haniemay wants to try all the 23 dishes and 6 desserts in offered in PUP lagoon but she is…

A:

Q: (a) How many ways are there to place 10 paintings into 8 boxes, given there should be at least one…

A: a. The total number of ways of dividing 10 paintings into 8 boxes so at least one painting in each…

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

Q: With 20 people seated around a tabke, how many ways can 3 people be selected without any being…

A: It is given that there are 20 people seated around a table. The total number of ways of selecting 3…

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: 1. If there are two ways to go to Pampanga from Manila and three ways to go to Bataan from Pampanga…

A: Manila to Pampanga : 2 ways Pampanga to Bataan : 3 ways From Batana to La Union : 5 ways     in how…

Q: 1. If Peter Piper picks 4 baskets of peppers on day one, 7 baskets on day two, and each day…

A: 1. Given peter Piper picks 4 baskets on day 1, 7 on day 2 and 3 more than the previous day…

Q: An overnight express company must include five cities on its route. How many dif- ferent routes are…

A: no. of cities = 5

Q: 10 books are to be ananged. (3 structural engineering books, 2 electrical design books and 5…

A: Given - 10 books are to be arranged. (3 structural engineering books, 2 electrical design books and…

Q: a. Viet Nam Airline has five flights from Ha Noi to Da Nang and six flights from Da Nang to Ho Chi…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A club with 5 members is to choose 3​ officers: ​ president, vice-president, and​…

A:

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A:

Q: Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1…

A: Solution: From the given information, 3-digit area code should be formed. The first digit do not…

Q: A group of 150 tourists planned to visit East Africa. Among them, 3 fall ill and did not come, of…

A: Consider the provided question, First draw the Venn diagram according to the given question, Let K…

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of…

Q: Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that…

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Q: 4. A committee of 6 officials is to be chosen from 8 men and 7 wor If the committee is to contain at…

A:

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: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a…

A:

Q: Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take…

A:

Q: There are twohighways from city A to city​ B, three highways from city B to city​ C, and two…

A: The solution is given below:

Q: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

Q: A carton of 15 light bulbs contains one that is defec-tive. In how many ways can an inspector choose…

A:

Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…

A: Combination is the way of selecting a units from a set without considering position of order. The…

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: If 72 students which represent 2/3 of the class participated in the Alay Lakad, how many students…

A:

Q: Assume that there are 70 students: 36 who enjoy tennis, and 13 who enjoy swimming but not tennis.…

A:

Q: If there are three routes from Detroit to Chicago and 8 routes from Chicago to Michigan, how many…

A: We can reach Chicago from Detroit in 3 ways. We can reach Michigan from Chicago in 8 ways.

Q: Assume that five men and five women are to sit in a row of ten chairs how many ways can these people…

A: Five men and five women are sitting in a row of ten chairs.

Q: Eight runners are hoping to take part in a race, but the track has only six lanes. In how many ways…

A:

Q: Assume a boat sends signals by arranging six colored flags on a vertical flagpole. If there are two…

A: There are six colored flags on a vertical flagpole out of which two are red and four are green.

Q: In how many ways can 4 AIRFORCE and 5 ARMIES be seated on a bench if the ARMIES must  be seated…

A:

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  How many…

A: As per bartleby guidelines only one question should be answered once, please upload each question…