5a. A bag contains two red marbles, six green ones, one lavender one, two yellows, and four orange marbles.  How many sets of three marbles include all the yellow ones?   5b. A bag contains two red marbles, five green ones, one lavender one, five yellows, and six orange marbles.  How many sets of five marbles include one of each color?   5c. A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange marbles.  How many sets of five marbles includ

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Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

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A: It is given that  Total books = 12 Mystery books = 4 Science fiction book = 6 Romance book = 2

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A: There are total 12 people.  Since it is a group of people so order does not matter. So we will use…

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A: Given that Don has two pairs of shoes, six pairs of pants, and six shirts. If all items are…

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Q: Evan has two baskets containing snacks items. The first basket contains one package each of peanuts,…

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Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

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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: You are forming an 9-member swim team from 13 girls and 16 boys. The team must consist of five boys…

A: We have given that that 9-member swim team from 13 girls and 16 boys  The team must consist of five…

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Q: A restaurant offers a dinner special that lets you choose from 8 entrees, 7 side dishes, and 5…

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Q: For your American History class you have to do a report on 2 states. How many different ways are…

A: It is known that, there are total 50 states in the U.S.

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A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

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A: Giventypes of beans = 6types of corn = 5types of peas = 4Total number of ways of buying one type of…

Q: How many different ways can Davis select 3 pieces of fruit from a group of 7 pieces of fruit?…

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Q: Pizza is available with three kinds of cheese and four toppings. How many different ways can you…

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Q: Johnny has 54 apples and 89 grapes. He gives half of his apples to Samantha, who already had 5. Then…

A: Given,            Johnny has 54 apples and 89 grapes. He gives half of his apples to Samantha,…

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A: Here we use factorisation method to perform this operation.

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Q: There are 6 men and 4 women in the Math Club. How many 5-person committees can be chosen if each…

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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: Evaluate. 417! 315! Simplify your answer as much as possible.

A: In general denotation, the factorial term, n! implies the product of all non-negative integer values…

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 3. The number of types…