10. How many ways can 10 people line up if Carly and David must be next to each other?
Q: 16. You go to Baskin Robins to buy an ice-cream. If you have 3 kinds of cones, 31 flavors, 8…
A:
Q: 5. We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find…
A: Generating function corresponding to the choice of apples is,…
Q: If there are four (4) students namely: karen, maxine, grace, and minie. How many different seating…
A: Given, The four students are karen, maxine, grace, and minie. We have to find the number of…
Q: How many ways can 6 boys stand in a line if a certain boy must come first?
A:
Q: 2. Claire has 100 baseball cards. He wants to place the cards in three stacks so that the second…
A: We need to find number of cards in first,second and third stack We need to find how many stacks…
Q: 12. From 6 biologist and 7 chemists, a committee of 3 biologists and 3 chemists is to be formed. How…
A:
Q: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…
A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…
Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…
A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.
Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men
A:
Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…
A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…
Q: In how many ways can the committee of 6 members be selected? How many different committees can be…
A:
Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…
A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…
Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…
A: Introduction: There are 2 girls, and 4 boys.
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: 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 ways can 5 men and 5 women be seated at a round table if each woman is to be between…
A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…
Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…
A:
Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…
A:
Q: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…
A:
Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…
A:
Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…
A: Total number of marbles = 3672 Let the number of grand-children be xNumber of marbles equally…
Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…
A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…
Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…
A: Depends on given data total outfits 3x4x3x3x2= 216 No need to wear socks and caps So total ways…
Q: 4. In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play…
A: The number of men who can play any of the positions is, n = 8 The number of starting positions on a…
Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…
A: The number of ways to select r objects from n objects is computed by using the formula of…
Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…
A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.
Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…
A:
Q: .There are four couples want to have their dinner in a round table . In how many ways can they…
A: From the given information, there are four couples want to have their dinner in a round table. Note:…
Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…
A: In order to get the result we have to calculate total no.of permutation.
Q: A class contains eight boys and eight girls. In how many ways can they stand in a line if they must…
A: Given, A class contains eight boys and eight girls.
Q: suppose that we wish to seat 10 people, 5 men and 5 women, in a row of ten chairs. in how many ways…
A:
Q: In how many ways can 4 CS students and 5 IT students sit in a row if the CS and IT students must…
A:
Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…
A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…
Q: How many ways can five boys and five girls be seated alternately at a circular table?
A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…
Q: s can this be done, if the order of the choices is taken into s can this be done, if the order of…
A: Given Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…
A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…
Q: How many ways can a baseball line up of 9 players be arrange to hit if the pitcher must bat last,…
A: We have 4 contact hitters and 2 power hitters and 1 pitcher and 2 other players. Who must be…
Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…
A:
Step by step
Solved in 2 steps with 1 images
- In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats and six Republicans if The subcommittee must consist of four Republicans and four Democrats?6. A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose from and we are required to use between 10 and 50 beans of each variety. How many different ways of filling the jar are there?2. In how many ways can six students be seated in a row of six seats if two of the students insist on sitting beside each other?
- A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.26. A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain at least 5 women, how many ways can they be chosen.If there are four (4) students namely: Sonia, Yumi, Rin, and Eggy. How many different seating arrangements in a bench can be made considering all the students at a time, if Sonia must always be first and Eggy can never be last?
- 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can have 2 scoops of the same flavor? 15. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if each scoop has to be a different flavor? a6. One serving of banana split contains three scoops of different flavors of ice cream, 3 different syrups, 2 different types of nuts, and with or without whipped cream. How many different ways can a banana split be made if there are 12 ice cream flavors, 8 syrups, and 4 types of nuts to choose from?3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the room?
- How many ways can A, B, C, D, and E stand in a line if C and D must stand next to each other?7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3 children need to sit in the middle with 5 adults on either side. How many ways can the family seat themselves?9. Find the number of different ways a grade A, B, C or D can be assigned to three students of a class so that no two students receive the same grade.
