The math club needs to select a President, Vice President, Treasurer and Secretary from their 32 members. How many ways can they do this? Number of possible leadership committees =

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: How many ways can 8 runners line up in a race

A: Draw the 8 lines and find the way that how many possible ways for 8 athletes on each place.

Q: How many ways are there to select three math help websites from a list that contains eleven…

A:

Q: A workshop venue has 35 participants.Each participant shakes hands with each and every other…

A: There are total 35 participants present at the venue. So the 1st participant will shake hands with…

Q: Bryan decides to have a movie marathon if he has 6 movies he wants to watch but only has time to…

A: Combination: It means selection. If there are n number of item out of which r to be chosen then the…

Q: How many ways can 9 runners finish a race?

A:

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: A committee of students and teachers is being formed to study the issue of how much they all love…

A: Given: 16 teachers and 35 students Total = 51 members  At least 2 teachers and at least 2 students…

Q: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

Q: How many first place votes are needed for a majority?

A: We have to find how many first place votes are needed for a majority.

Q: A manufacturing unit has to appoint a committee consisting of 4 people. There are 9 eligible…

A: Given , A manufacturing unit has to appoint a committee consisting of 4 people. ie, There are 9…

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: You need to rank 4 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank 4 types of coffee. This is…

Q: Jay has 14 stat books. In how many different ways can he arrange 4 of them on a bookshelf?

A: Permutation is defined as an arrangement of objects in a definite order. The members or elements of…

Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

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: Four math clubs go to a conference and meet up for lunch. They introduce themselves to each other…

A: The scenario in which four math clubs go to a conference and meet up for lunch.Every member of each…

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

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: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

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: After the tryouts for the volleyball team, the coach selects 14 people to join the team. Due to a…

A: To determine the number of ways the coach can choose 7 people out of 14, we use the combinations…

Q: The Grossmont College Student Council has 12 members.  How many different groups can be formed to…

A:

Q: A school club has 25 members and needs to elect four officers: a president, vice-president,…

A: We have given that Total members (n) = 25 Position to be filled (r) = 4 Here we will use the concept…

Q: There are 54 runners in a race. How many ways can the runners finish​ first, second, and​ third?

A: Note - Assuming for each position there is only one runner.

Q: Show work please In a company, you need to pick from your employees to be the manager, the…

A: We have 6 different person to choose for 6 positions from 19 employees.

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A:

Q: You are organizing a variety show and have 14 different performances to place in the line-up.  How…

A: Number of different line ups that can be created using all 14 different performances = 14!

Q: he BMCC web-design club has 40 members. a. In how many different ways can it select a group of 4…

A: Given Data: The number of members in the web-design club is: n=40 The number of members to be…