Four married couples have bought 8 seats in the same row for a concert. In how many ways can they be seated a. With no restrictions? b. If each couple is to sit together? c. If all the men sit together to the right of all the women?

Q: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

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: Sandra is writing an article and taking pictures for the school newspaper. She chooses three…

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Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

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: Paula’s Pie Shop offers 23 different pie fillings, each available in 8 different sizes and 4…

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

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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: In a group of 100 people, 60 have a DVD player, 50 have a CD player, and 20 have neither. How many…

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Q: Assume that the pond contains 90 fish: 68 blue, 21 orange, and 1 white. A contestant pays $0.65 to…

A: Total number of fishes = 90 Contestant pays $0.65 for catching one fish and receives $0.20 if fish…

Q: A student has scores of 87, 83, 96, and 76 on four quizzes. What must she score on the fifth quiz to…

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Q: John has 9 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 3 of the boxes…

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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: 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: 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: many different selections of these models and colors are possible?

A: Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the…

Q: customer at a bookstore is choosing four paperback novels to take on a trip, from a shelf containing…

A: We have to find no. Of combinations possible.