Considering the 5 red list countries namely: Austria, Belgium, Switzerland, Namibia, Hungary, how many different arrangements can be made considering all the countries at a time, if Namibia must be second and Austria can never be last?

Q: There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group…

A: The number of ways to select r number of different objects from n number of different objects can be…

Q: 5. When ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the…

A: 3.  choice of hard drive   4.  choice for the amount of Memory   2.  choice of video card…

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: B. It is in international summits that major world decisions happen. Suppose that you were the…

A: Given : There are 12 country-representatives  We have to find the number of seating arrangements…

Q: Eighteen people on an amateur sports team are choosing a captain, a vice - captain, and a social…

A: we have to find no of ways..

Q: The board of directors of a corporation comprises 9 members. An executive board, formed by 4…

A: number of ways select of r objects from n objects  =ncr =n!/[(n-r)! r!]

Q: There are 5 third year and 4 fourth year students qualified to join a contest. In the group…

A: Given that there are 5 third year and 4 fourth year students qualified to join a contest. In the…

Q: It is in international summits that major world decisions happen. Suppose that you were the overall…

A: The number of ways to arrange n objects in a circle is (n-1)!

Q: 10. A tourist group visiting Las Vegas for 5 days would like to stay in 5 different hotels. If the…

A: There are 10 hotels and the people are staying for 5 days so the choice needs to be made of 5 hotels…

Q: 1. There are 8 ways to send 4 different gift boxes into 2 indistinguishable houses (each house may…

A: To check given statement is True or False.

Q: How many ways are there to select 7 countries in the United Nations to serve on a council, if 2 are…

A: Disclaimer: Since you have posted multiple questions, we will solve first question for you. If you…

Q: Three research department have 8,6,and 10 members , 4 respectively. Each department is to select a…

A: Three research department have 8,6, and 10 members, respectively.

Q: A committee of 5 members has to be formed from 8 boys and 12 girls. Find the number of ways to form…

A:

Q: A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position…

A: It is given that Number of faculty members = 8 Number of students = 13

Q: In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How…

A:

Q: The local elementary school PTA is forming a 5 member committee to organize the campus…

A:

Q: A board of directors consisting of eight members is to be chosen from a pool of 30 candidates. The…

A: We have  Total number of candidates are 30. There should be 8 members in a board of director. Option…

Q: A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​…

A: Here, we have 15 qualified candidates, out of which using the 4 candidates we have to appoint a…

Q: A rowing crew of 4 rowers is to be selected, in order from the first seat to the fourth seat, from…

A: The number of different arrangements possible are calculated as shown below for each of the given…

Q: Eleven graduate students have applied for two available teaching assistantships. In how many ways…

A: In this problem order for the selection is not mentioned therefore we can use combination for award…

Q: 59. Out of 5 mathematicians and 7 statisticians, a committee consisting of 2 mathematicians and 3…

A:

Q: 11. Nine women and twelve men are members of Computing Club at School of Computing, Universiti Utara…

A: We need to find number of ways.

Q: assume that you have a committee of 8 members, and that you must choose a chairperson, and…

A: Given data: Assume that you have a committee of 8 members, and that you must choose a chairperson,…

Q: The South African National Assembly consists of 400 members. How many possible ways are there to…

A: Thanks for giving opportunity to serve for bartleby students,   Hey, There ! Thank you for posting…

Q: 13. A school board is forming a committee to discuss new dress code rules. Of those invited to join…

A:

Q: 2. The board of directors of a corporation comprises 9 members. An executive board, formed by 4…

A: 2. Combinations: The number of combinations of r items selected from n items is, Crn=n!n-r!r!

Q: The local elementary school PTA is forming a 5 member committee to organize the campus…

A:

Q: Your class of 15 students has assigned a group project. You must break up into three groups of five…

A: Formula:   If there are n objects. If there are k1 of type 1, k2 of type 2 and so on km of type m…

Q: A corporation must appoint a president, chief executive officer, chief operating officer, and chief…

A: The total number of qualified candidates = 11 The officers need to be appointed = 4…

Q: A home builder has agreed not to erect all “look alike” homes in a new subdivision.  Five exterior…

A: Solution: Given information: Exterior = m= 5 ways  Interior = n=  ways

Q: There are 10c first tier national rugby union teams Argentina, AUstrallia, England France,Ireland,…

A: (a) The number of ways to choose two team pairing among the ten teams will be:

Q: A company must appoint a president,  chief executive officer, chief operating officer, and a chief…

A:

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: The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is…

A: Given data; The number of spots available  in cabinet he/she is appointing(x) = 5 The eligible…

Q: 1. There are 15 men and 18 women who belong to a club. An executive panel consisting of a president,…

A: There are 15 men and 18 women. We want to select 4 people out of 33 peoples. ( i ) with no…

Q: 6 Heads of State are meeting in Washington DC. How many different linear seating arrangements are…

A: For linear arrangements, No. of linear arrangements=(n)!=6!=720

Q: SCUBA club consists of 9 divers with advanced certification and 6 with just a basic certification.…

A: given that Advance certificate=9 Basic certificate=6

Q: At the first tri-city meeting, there were 5 people from town A, 4 people from town B, and 2 people…

A:

Q: A local college is forming a seven-member research committee having two administrators, three…

A: Given The number of members in contention for the committee are following  The number of…

Q: How many different possibilities are there for the membership of the working group?

A: Here given A hospital working group of 8, consisting of 3 doctors, 2 nurses and 3 lawyers is to be…

Q: Four members from a 60​-person committee are to be selected randomly to serve as​ chairperson,…

A: From the provided information, Firstly, for choosing chairperson there will be 60 possible outcomes.…

Q: Assume that there are 4 types of upholstery, 4 types of wood, and 5 designs to choose from. Of the…

A: Given: There are 4 types of upholstery                            4 types of wood…

Q: There are 10 participants to a barangay meeting to talk about safety measures to be implemented…

A: Here the total number of participants = 10 It is needed to arrange them in row , where , three of…

Q: 10. A lobby has a list of 100 senators of the United States. In order to determine the Senate's…

A: Given :

Q: Four members from a 36​-person committee are to be selected randomly to serve as​ chairperson,…

A: We have given that we have to choose 4 members from a 36​-person committee. Four persons are to be…

Q: 5. A married couple wishes to have four children. How many possible arrangement of children can be…

A: 5. It is given that a married couple wishes to have four children.

Q: Your international diplomacy trip requires stops in Thailand, Singapore, Hong Kong, Laos, and Bali.…

A: Given: International diplomacy trip requires stops in Thailand, Singapore, Hong Kong, Laos, and…

Q: Suppose an organization elects its officers from a board of trustees. If there are 52 trustees, how…

A: Given: Number of trustees = 52 Board has to elect a president, vice-president, secretary, vice…

Q: In how many ways can the hosts of the ASEAN Summit choose the main judge, secondary judge, and…

A: Here Given For ASEAN Summit  Participants are 3 Filipinos, 4 Chinese, and 6 Vietnamese SO  Total No…

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

A: Given, There are 10 books are to be arranged. In which there are 3 structural engineering book, 2…