Assume a club N with six members: N = {Andy, Bill, Cathy, David, Evelyn, Erik} Count the different ways the club could elect a president and a treasurer assuming that no one can hold more than one office. 30 20 10 40

Q: How many different committees can be formed from 6 women and 6 Menifee the committee consists of 5…

A: Solution: From the given information, there are 6 women and 6 men.

Q: Twelve people are on a committee. If five of them are to be chosen to serve on a subcommittee, how…

A: There are total 12 people.  Since it is a group of people so order does not matter. So we will use…

Q: Given a group of​ students: G={Allen, Brenda, Chad, Dorothy, Eric} or G={A, B, C, D, E}, list and…

A: Given: There are two women (B, D)    & there are three men (A, C, E)    Two women from two women…

Q: Don has nine pairs of shoes, seven pairs of pants, and three shirts. If all items are compatible,…

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Q: In 2012, there were 73,817 (in thou-sands) children under the age of 18 living in the United States.…

A: The number of children living with United States is 73,817 thousands of age under 18. Out of these,…

Q: A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park. More drama. A and B…

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Q: A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to…

A: There are 3 different lots L1,L2,L3 Total spaces=21 (out of 21 6 are closed for renovation) total…

Q: Suppose a certain combination lock requires three selections of numbers, each from 0 through 34.…

A: Numbers are from 0 to 34. Number of choices becomes 35. As the three selections of numbers are…

Q: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

A: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

Q: There are 6 people lining up to get on a bus. If 2 specific persons, among 6, refuse to follow each…

A: The problem is solved using the concept of permutation and combination. Total people = 6

Q: There are six members on a student council. Three of these members will serve on a spring formal…

A: Permutation and combination are 2 methods in mathematics. These are deals with the number of…

Q: A group of 10 people in s choosing a Chairperson and Vice President. They put all 10 people's names…

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Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: a. The large books must always be together. b. The first book and last book must always be medium…

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Q: A Computer class comprises 8 male students and 6 female students. Find the number n of ways that the…

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Q: A club consists of 23 people. In how many ways can they choose a president, vice president,…

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Q: igh school classes will be chosen to participate in a school activities survey. There are 21 high…

A: Given:6 high school classes will be chosen to participate in a school activities survey.There are 21…

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: We want to find number of elements in A∪B.

Q: A computer programming team has twelve members. Suppose five team members are women and seven are…

A: We find the number of groups of five that can be chosen with three women and two men from a team of…

Q: The following people are on 4 different committees. What is the fewest number of meetings that need…

A: The following people are on 4 different committees. To find the fewest number of meetings that need…

Q: A committee of 4 people is to be chosen from a group of 8 men and 7 women. How many different…

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Q: Pauline has seven dancers to choose from to fill the positions as playing cards in a production…

A: Given that there are 7 cards and 7 dancers.  The first dancer can be assigned in 7 ways.  When the…

Q: Thirteen people work in an office. If eight of them are to be chosen to serve on a hiring committee,…

A: Ans - Given, n = 13 people work in an office. If r = 8 of them are to be chosen to serve on a hiring…

Q: How many different ways a president and a vice president can be selected from a group of 17…

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Q: If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}.

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Q: here are five bus lines from city A to city B and four bus lines from city B to city C. Find the…

A: Given that  Number of Bus lines from city A to City B = 5 Number of Bus lines from city B to city C…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

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Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10