You are arranging some old books into boxes. If you put 5 books in each box there are 3 remaining. If you put 6 in each box there is 1 remaining. If you put 8 in each box there are 3 remaining. Find the smallest number of old books you are arranging.

Q: Jewel has 20 apples and 16 banana's that she wants to arrange in baskets,there needs to be the same…

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Q: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

Q: There are 4 oranges, 5 apples and 6 mangoes in a basket. In how many ways can a person make a…

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Q: A dog shelter is giving away 11 different​ dogs, but you have room for only 3 of them. How many…

A: From the provided information, A dog shelter is giving away 11 different dogs. There are room for…

Q: Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​$1.08.   ​(a). How…

A: According to the given information, there is a pile of quarters, dimes and pennies with a total…

Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: The number of seats in the first row =20 Since each successive row contains two more seats than the…

Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

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Q: A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages…

A: Given, there are 5 wheels in each kit. And the available number of wheels is 30 that have to…

Q: Suppose Allan is going to build a playlist that contains 9 songs. In how many ways can Allan arrange…

A: We have to find number of ways to 9 songs...

Q: There are 4 different types of fruits and n different types of vegetables in a grocery shop. If…

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Q: how many ways can you arrange 4 objects from a set of 15 objects?

A: From the provided information, A set contains 15 objects from which 4 objects will be arranged.

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination

Q: There

A: Please refer to the image below

Q: A young boy asked his mother to get 6 game cartridges from his selection of 11 arcade and 7 sport…

A: Given: Number of arcade =11 Number of sports game =7

Q: There are 860 freshmen. If that is 43% of the class, how many are in the class?

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Q: A contractor would like to build 9 houses, each with a different design. In how many ways can he put…

A: A contractor would like to build 9 houses, each with a different design. Assume,  first house is…

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: Lee wants to select 9 photos of his 20 to take on a trip. How many ways can he do this? Lee has…

A: Out of 20 photos, Lee wants to select 9 photos. As selection only matters, the number of ways…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: The number of ways to arrange r objects selected from n distinct objects is given by permutation.…

Q: A dog shelter is giving away 16 different dogs, but you have room for only six of them. How many…

A: A dog shelter is giving away 16 different dogs. And there is room for only six of them.

Q: There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many…

A: Given,   There are 8 members on a board of directors. If they must form a subcommittee of 6 members.

Q: If there were only 9 Runners on the team last year how many females were there on the team this year

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Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

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Q: You have 7 purple corn kernels, and 2 yellow corn kernels. (a) If you line them up in a row, how…

A: Permutation: the permutation is determining the number of possible arrangements in a set when the…

Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: if 1 cup gives 20 servings, and 1/2 cup gives 40 servings, how do i figure out how many servings 3/4…

A:

Q: The first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34 seats,…

A: Given: he first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34…

Q: Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many…

A: Ten diplomats, each from a different country, are lined up in two rows of five for a photo.   If the…

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A:

Q: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

A: Given : Total number of friends = 5 Number of friends can bring = 3

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: There are 5 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: A bag contains 15 plastic eggs, each with a different prize. Trevor picks out 3 of the eggs. How…

A: Given that, Bag contains 15 plastic bags. Trevor picks out 3 of the eggs How many different sets…

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

Q: A shelter rescues 4 cats for every 5 dogs. If they rescued 48 cats how many dogs did they rescue?

A:

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information,   Number of boys = 7 Number of girls = 3   Total = 10

Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

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Q: An egg vendor broke all the eggs that he was delivering to a local store. He could not remember how…

A: Let us find least number of packages,  LCM of 2, 3, 4, 5, 6 is 60. Now 61 will leave one egg each…

Q: For a trip, eli packed 3 shirts, 3 pairs of pants, and 2 pairs of shoes. how many different outfits…

A: For a trip, eli packed 3 shirts, 3 pairs of pants, and 2 pairs of shoes.

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: In a theater, there are 22 seats in the first row and 3 more seats in each following row. How many…

A:

Q: Suppose Jim is going to build a playlist that contains 9 songs. In how many ways can Jim arrange the…

A: Suppose Jim is going to build a playlist that contains 9 songs.In how many ways can Jim arrange the…

Q: There are 6 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: Richard purchased 245 white bouncy balls, 238 yellow bouncy balls, and 84 orange bouncy balls. He…

A: Given that, the number of white balls is 245, the number of yellow balls is 238 and the number of…

Q: Suppose Aaron is going to build a playlist that contains 14 songs. In how many ways can Aaron…

A: Given,total no.of songs=14

Q: after gym class u are tasked with putting the 33 identical dodgeballs away into 9 bins. how many…

A: The number of ways n identical items arranged in r places such that each place contains at least 1…

Q: there are 19 members on a board of directors. If they must form of a subcommittee of 4 members ,how…

A: Given that the total number of members on a board of directors is 19. They must form a subcommittee…