Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class has 31 students, in how many ways can the students be chosen to help?

Q: Alice, Bob, Carl, and Diane are going to be coaches for a children's bas- ketball tournament. There…

A: Given: Number of coaches=4, total number of children's=20 and each team consist of 5 players.

Q: A researcher wishes her patients to try a new medicine for depression. How many different ways can…

A: Given: There are 47 patients. We use combination to find how many ways researcher can select 5…

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: How many ways can 3 female students and 4 male students be seated on a long bench if the bench can…

A: To accommodate 3 female students and 4 male students, there are so many possibilities like all the…

Q: 4 people: Luis, Marissa, Neil, and Ophelia were on a bus. The florist sat next to Marisa. Luis and…

A: Let us make a simple graph as Label the columns : Luis, Marisa, Neil and Ophelia Label the rows…

Q: A salesman lists 12 customers to visit each day. In how many different ways can he visit the…

A: Given, a salesman lists 12 customers to visit each day. The required different ways in which he can…

Q: The following day 5 drinks samples are add and customers are told that they can take 3 cake samples…

A: In these types of questions, the basic formula is of combinations. The required result, total…

Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

A:

Q: Pilar, Pepe and Mario worked at a call center company during night time and are given three…

A: This question is related to time and numbers, We will solve it using given information.

Q: There are 12 cans of fruit and 8 cans of vegetables on a shelf at the food pantry, and you are a…

A:

Q: There are 16 seniors and 20 juniors in a particular social organization. In how many ways can 2…

A:

Q: girl has 9 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Given that the girl has 9 skirts, 10 blouses and 4 pairs of shoes.

Q: group of 27 people, made up of adults and children, visited a park. Adult admission to the park is…

A:

Q: You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you…

A: Given: Total friends = 5 Number of friends that could be brought along = 2

Q: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

A:

Q: A student must answer 7 of the 10 questions that are on a exam. How many ways can the student select…

A: Given that  A student must answer 7 of the 10 questions that are on a exam. To find How many ways…

Q: A teacher is decorating their classroom by placing posters in a row on one wall. The teacher has 7…

A: Explanation: a) Given that,  Choose 5 posters out of 7. P57=7!(7-5)!=7×6×5×4×3=2520

Q: A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many…

A:

Q: At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop has…

A: Given problem is : At Wingstop, customers ordering a family meal can choose 4 different wing…

Q: At Mr. Furry's Dance Studio, every man must dance the last dance. If there are six men and nine…

A: Given that there are six men and nine women and every man must dance the last dance. Here total…

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. (a) How…

A:

Q: There are 360 students and 2/3 went to a field trip. Of these students, 40% were wearing t- shirts…

A:

Q: A sixth grade class is having a pizza party. The teacher ordered 5 cheese pizzas, 5 pepperoni and 5…

A: Fractions are used to symbolize a part of a whole.

Q: 2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many different orders can…

A:

Q: A company has 10 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: They can choose 2 men from 10 men in 10C2 ways They can choose 2 women from 11 women in 11C2 ways.…

Q: At a deli counter there are 7 sandwiches with meat and 6 vegetarian sandwiches. Carols is at the…

A:

Q: My little brother loves the video “hunting game” he got for Christmas. He gets 2 points for…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C. (a) How…

A: (a)   Determine the number of ways that the 2 letters can be selected from three letters without…

Q: n soccer, a tie at the end of regulation time leads to a shootout by three members from each team.…

A: Given that  Number of players available (n) = 11 Players need to be selected = 3   We know that We…

Q: For this problem, assume that you are to pick 2 cars from the motor pool, which contains 6…

A: From the given information, there are  6 subcompact cars, 6 compact cars and 5 midsize cars.  pick 2…

Q: When three professors are seated in a restaurant, the hostess asks them: “Does everyone want…

A: The reply of the first professor to the question “Does everyone want coffee?” is ,“I do not know”.…

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: How many ways are there to go from B to D?

A: here given  A boy lives at B and wants to go to school at D. From his home B he has to first reach C…

Q: A school dance committee is made up of 4 freshman, 4 sophomores, 3 juniors, and 2 seniors. How many…

A: Given 4 freshman 4 sophomares3 juniors 2 seniorsstudents must fit together by gradeF1F2F3F4…

Q: After gym class you are tasked with putting the 19 identical dodgeballs away into 9 bins. How many…

A:

Q: There are 7 women and 6 men signed up to join a ballroom dance class. In how many ways can the…

A: Given: Number of men = 6 Number of women = 7 Number of people to join dance class = 4

Q: The freshman class of 175 students went on a field trip. For transportation, they needed both vans…

A:

Q: A party room has a circular table with 12 seats. A group of 4 people enter the room. How many…

A: In a circular table with n seats,  there are (n-1)! ways ofoccupying the seats

Q: A school dance committee is made up of 2 freshman, 5 sophomores, 2 juniors, and 5 seniors. How many…

A: Given Data- A school dance committee is made up of: Freshman =2 Sophomores = 5 Juniors = 2 Seniors =…

Q: Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain how…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: In how many ways can you choose 3 kinds of ice cream and 2 toppings from a dessert buffet with 10…

A: Given that there are 10 kinds of ice cream and  6 kinds of toppings. We can choose 3 kinds of ice…

Q: A mother of 8 wanted to attend a party but only 5 children can be fit in her car. In how many ways…

A:

Q: Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife…

A: Every salad and every dessert should be considered as a different dish here.

Q: 7 people sit around a table how many ways could they be arragned if 2 people cannot sit together .…

A: Given Total no of people=7

Q: A teacher bought 20 apples. She wants to distribute the apples to 5 children. However, she decides…

A:

Q: 3. Marty is a bookworm and he has various collections of novels, series and other story books. If he…

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

Q: There are four different trails to the top of a mountain. In how many ways can a person hike up and…

A: given that There are four different trails to the top of a mountain. In how many ways can a person…

Q: You and 3 friends are moving into a 4-bedroom house and need to decide who gets which room. How many…

A: There is total 4 persons.

Q: There are  10  women and  5  men signed up to join a ballroom dance class. In how many ways can…

A:

Q: Among the eight nominees for two vacancies on a school board are four men and four women. How many…

A: Solution: It is given that there are 8 nominees for two vacancies on a school board. There are 4…