Suppose we want to choose 5 colors, without replacement, from 15 distinct colors.

Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 2…

A: A palette of 15 colors to work with, and wants to design a flag with 2 vertical stripes, all of…

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

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Q: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. How many ways…

A: From the provided information, Total distinct colors = 18 Number of colors to be chosen = 4 If the…

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

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Q: There are 11 goldfish in a fishpond. In how many ways can 5 be chosen to be moved to another…

A: →Whenever, we have to select r things without knowing order of selection    from n things , then…

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: Suppose we want to choose 6 colors without replacement from 9 distinct colors

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Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: The bedroom, garage, office, and bathroom of a house will be painted, each with a different color.…

A: From the provided information, There are 15 colors and the bedroom, garage, office and bathroom of a…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: A car manufacturer offers a certain make of a car with 3 exterior colors, 5 interior colors, and 5…

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Q: How many​ 5-card hands can be dealt from a standard deck of 52​ cards?

A: The objective of this question is to find out the number of different 5-card hands that can be dealt…