5) A group of 32 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip.

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A: Given: Number of applicants for Civil Engineers is, n(C1)=7. Number of required for Civil Engineers…

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

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

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A: answer is in next step

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Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

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Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: Given : No. of statisticians = 5 No. of economist = 6 Total no. of persons = 5+6=11 Sample size (n)…

Q: Before doing the ordering for a company barbecue, the manager took a poll to find out how many…

A: Given people who eat corn = 39 people who eat ribs = 57 people who eat hamburgers = 65 people who…

Q: A group of 100 people touring Europe includes 43 people who speak French, 50 who speak Italian, and.…

A: Given,           A group of 100 people touring Europe includes 43 people who speak French, 50 who…

Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

A: Permutation: The number of different arrangements of ‘r’ elements from a set of‘n’ elements is…

Q: From a student group of 70, 26 people play basketball, 36 people play football, 31 people play…

A: Union of Two Sets: For any two sets A and B, union of A and B, written as A∪B, contains the elements…

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A:

Q: In a survey of 400 students in a school, 100 were listed as taking applejuice, 150 as taking orange…

A:

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: Considering the 5 red list countries namely: Austria, Belgium, Switzerland, Namibia, Hungary, how…

A: There are totally 5 red list countries namely: Austria, Belgium, Switzerland, Namibia, Hungary.

Q: A committee of 5 delegates is to be chosen from a group of 17 delgates, 10 of whom are women. If at…

A: If an event can be done in n different ways and if another even can be done in m number of ways,…

Q: 4. What is the number of different ways to divide a group of 20 people equally into 2 sub-groups?

A: Permutation and combinations

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: 4. An expedition team consisting of 10 members to be chosen from a group of 4 teachers and 12…

A:

Q: 5. How many arrangements can be made from 4 boys and 4 girls if they have to sit in a roundtable and…

A: We have given that  Number of boys=4 Number of girls=4

Q: In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants to be chosen from 7 applicants are 2. Number of applicants to be chosen…

Q: A committee of size 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A:

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

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Q: Suppose we wish to form a professional development committee with a selection pool of 12 students…

A: The question is bases on the concept of combinations we will use the following formula to calculate…

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: A classroom has 8 vacant chairs, 3 in the front row and 5 in the back row. In how many ways can 5…

A: Let us assume there are three students A, B and C sitting beside each other. The different ways in…

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: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

Q: A survey of 108 persons was conducted at TCC, and it was found that 61 persons carried a cell phone,…

A: Tota number of persons = 108 Number of persons carried  a cell phone n(A) = 61 Number of persons…

Q: If radio station call letters must begin with either the letter K or W and must include either two…

A: Given information Letter can start with letter K or W and include either two or three additional…

Q: A survey of 71 persons was conducted at TCC, and it was found that 40 persons carried a cell phone,…

A: Note: according to our guidelines we can answer only first three subparts A survey of 71 persons was…

Q: 6. From a pool of 10 candidates, a company has to choose a president, vice president and a…

A:

Q: they

A:

Q: Suppose the group of twelve consists of five men and seven women. a) How many five-person teams can…

A: A group consist of fire men and sexes women. We have to make a fire person team with 3men and 2…

Q: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: 4. How many committees of 4 men and 7 women can be selected from a group of 9 men and 10 women?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 10 students should be accomodated in two 3-bed and two 2-bed rooms. In how many ways can they be…

A:

Q: 4. You want to get a cell phone and must decide on the right plan. If there are 10 different phones,…

A: This is combination question we need to find only selection

Q: A builder is planning to build 12 houses along one side of a road. He will build 2 houses in style…

A: Given data: The total numbers of houses are n=12. The number of styles A house is A=2. The number of…

Q: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to…

A: a) We will select a group of 4 students from 22 students. So arrangement is not required. That means…

Q: how many of the cities mentioned had only a professional sports team

A: From the diagram First lets fill in region 5 5 cities had all 3 activities 11 cities had both of…

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: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven…

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there…

Q: 6. If there are 12 teams in a basketball tournament and each team must play every other team in the…

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

Q: A survey of 154 persons was conducted at TCC, and it was found that 47 persons carried a cell phone,…

A: Given, number of persons carried cell phone = 47 number of persons carried tablet computer =96…

Q: In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course,…

A: