A debating team consists of 9 boys and 9 girls. Find the number of ways they can sit in a row where: a. If five persons insist on sitting next to each other b. The boys and girls must alternate

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A: As per the given information 5 married couples are there and each couple must sit together Possible…

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

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: At a party, burgers, pizzas, and fruit juice were offered to guests. A fourth of the guests ate…

A: Let there are a total x number of guests.

Q: Thuy (the tallest) is older than Miguel (the lightest). Jerel (the oldest) is shorter than Nick…

A: Since you have asked multiple questions in a single request, we will be answering only first…

Q: 3.) A chef cooks 2 of a pound of pasta. She plans to serve - of a pound to each customer. How 12…

A:

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

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Q: Ben is studying sculpting, and he was asked to submit 8 sculptures from his collection to exhibit at…

A: The objective of this question is to find out the number of ways Ben can choose 8 sculptures out of…

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: Ms. Tobin is arranging her colored pencil collection in the classroom. She has 24 pencils and needs…

A: Given, Tobin has 24 pencils, out of which 10 put in a bucket and other 14 put in a box.

Q: a law firm has 8 male and 6 females lwayers. a committee of 5, two male lawyers and 3 female…

A: The objective of this question is to find out the number of possible committees that can be formed…

Q: Marissa's cycle repair shop fixes normal bicycles and tricycles. Marissa had to assemble a number of…

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Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: In firm worked 12 engineers and 8 electricians. A committee consisting of 3 engineers and…

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Q: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…

A: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. We need to…

Q: mr jackson has 60 flash cards she will arrange into 5 equal stacks. how many flash cards will be in…

A: mr jackson has 60 flash cards she will arrange into 5 equal stacks

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

Q: There are 95 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a…

A:

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: There are 24 students playing basketball at lunch. How many different three-person teams can be…

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Q: a. Find Cx D b. Find D x C c. Verify Card (C x D) = Card (D x C) d. Find C-D and D - C and verify…

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Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets

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Q: Juliette has 348 pennies. If she wants to divide them into sets of 16, how many sets can she make?…

A: this is question of algebra here we have to find using simple divide and get value of that. further…

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.