Jewel has 20 apples and 16 banana's that she wants to arrange in baskets,there needs to be the same number of apples and banana's in each basket,What is the greatest number of baskets she can make? How many apples and banana's will be in each basket?

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Q: A band of 23 weary travelers entered a lush forest where they found 63 piles each of containing the…

A: The Diophantine equation is very important in number theory. It contains two variables and one…

Q: Kevin is creating lollipop bouquets using 15 cherry lollipops and 18 orange lollipops. He wants each…

A: Given     Cherry lollipops =15     Orange lollipops =18

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A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

Q: Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. What is the greatest number…

A: Given,             Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.And for…

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Q: Anna has made 30 chocolate chip cookies and 54 sugar cookies. She wants to put them in bags for her…

A: Anna has made 30 chocolate chip cookies and 54 sugar cookies.

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: It is given that 12 teams are in a basketball tournament and each team must play every other team in…

Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many…

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

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: The number of ways a team of 2 players can be chosen out of 12 players is

A: For the following question,

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Q: David has to choose 5 chocolates from 6 different dark chocolates, 4 different white chocolates and…

A: From the given information,   David has to choose 5 chocolates from 6 different dark chocolates, 4…

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: Find the number of different ways that an instructor can choose 4 students from a class of 26…

A: In this case, n = 26 and r = 4.

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

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Q: From a group of 10 student representatives, 5 will be chosen to work on a committee. How many…

A: Given that from a group of 10 student representatives, 5 will be chosen to work on a committe

Q: Find the number of different ways that an instructor can choose 4 students from a class of 23…

A: Given: Number of students = 23 Number of students to be chosen = 4

Q: Three golfers, Vijay, Ernie, and Phil, during five years had a total of 204 top-finishes. Ernie had…

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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: A casting director wishes to find one male and one female to cast in his plate if he plans to…

A: Given Male=9 Female=14

Q: Find the number of different ways that an instructor can choose 6 students from a class of 32…

A: choose 6 students from class of 32 students for a field trip. no. of ways to choose students = ?

Q: Out of 10 families, six families have dogs, four have cats and two have neither cats nor dogs. Find…

A: The number of elements in the set can be calculated using the set formula. The union of the sets can…

Q: Ernie had 9 more top -10 finishes than Phil. Vijay had 13 more top-10 finishes than Phil.

A: We denote top-10 finishes of players Vi, Er, and Ph by x, y, and z respectively. Now we have…

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

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: Maria needs to take three physical education classes in order to graduate. Her college has 12…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Factorial of a number:   It is a non-negative integer n which is defined by the product of all…

Q: The number of ducks and pigs in the field house totals 45 the total number of legs among them is 126…

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Q: A concert hall contains 8 sections of seats with the same number of seats in each section if there…

A: Ans. 31

Q: Pam is arranging her photos on the wall. There are 5 spaces on the wall to hang her photos. If she…

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Q: The library is to be given 3 books as a gift. The books will be selected from a list of 17 titles.…

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

Q: A president, vice president, and 2 at-large members are selected for a school council from 10…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

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Q: the track team has 20 members and will be sending 5 members to the next competition. how many 5…

A: Given that, the track team has 20 members and will be sending 5 members to the next competition.

Q: There are 12 teams in a league. How many games are played if every team plays each other twice?

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Q: Julian owns 5 pairs of pants, 2 shirts, 2 ties, and 8 jackets. How many different outfits can he…

A: Given that he must wear one of each items so first we have to find the number of ways of wearing…

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Q: joy is a dental sales representative who wants to distribute 16 brochures and 14 pamphlets to local…

A: According to the given information it is required to find greatest number of dental offices Joy can…

Q: Jose has 52 coins among which there are only nickels and pennies. If the value of the coins is…

A: We can use simultaneous equations in order to solve the given problem.

Q: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Of 8 pups, there are more girls than boys. How many girl pups are there?

A: Let there are x number of girls and y number of boys. and there are total 8 pups, so x + y = 8…

Q: The number of ways in which 2 cards can be chosen or selected from a total of 6 cards equals:

A: We are asked to find the number of ways of selecting 2 cards from 6 cards

Q: The Science Club has 20 male and 18 female members. How many different ways can one male and one…

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Q: student club consists of 10 freshmen and 7 sophomores. How many different six-person committees can…

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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: Juan owns 4 pairs of pants, 6 shirts, 1 ties, and 3 jackets. How many different outfits can he wear…

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Q: During a summer camp, all the children have to be separated into 8 different groups. If there were…

A: During a summer camp, all the children have to be separated into 8 different groups. If there were…