In a competition, junior chefs make a gourmet soup by selecting 10 different ingredients. How many different soups can th chefs make if the soup must include 4 ingredients?  Show all your work.

Q: At the culinary arts awards banquet, students get to choose 4 mini desserts from the dessert table.…

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Q: At a restaurant, there are 4 choices of appetizers, 6 main courses and 5 desserts How many different…

A: In 3 course meal, there should be 1 appetizer, 1 main course and 1 dessert. So, 1 appetizer can be…

Q: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: A mentor has prepared 10 tasks and 20 exercises. For an assessment he'd like to use 3 tasks and 2…

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Q: A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces. How many different…

A: Given data A pianist plans to play 6 pieces at a recital from her repertoire of 24 pieces

Q: There

A: Please refer to the image below

Q: You are making a colorful cake for a birthday party and need to use 7 drops of food coloring for…

A: It is given that the number of drops needed for food coloring for every 9 ounces of icing is 7.

Q: At a class, 50% of the students are sophomores and 20% of the students like tennis. Thirty percent…

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Q: A couple wants to plant some shrubs around a circular walkway. They have seven different shrubs. How…

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Q: A pianist plans to play 5 pieces at a recital from her repertoire of 22 pieces. How many different…

A: Permutation formula: nPr = n!/(n-r)!

Q: In his curry chicken recipe, Reynold uses 5 cups of curry sauce for every 7 people. How many cups of…

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Q: An artist with a palette of 13 colors designs a flag with 3 different vertical stripes. Find the…

A: Total = N = 13 colours ,  r = 3 different vertical stripes  To select r things from N things (…

Q: A political scientist has 12 volunteers for a political opinion survey. And political scientist Alex…

A: GivenNo.of volunteers(n)=12No.of volunteers to complete different variations of the survey(r)=2

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.How many different three…

A: Ans#-  Given, At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.…

Q: In a competition, there are 200 participants. Points were distributed as such that each participant…

A: Given that there are 200 participants in a competition. The winner got 2400 points Point is…

Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

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Q: You need to make mini pastries  for a catered event for 125 guests.  40% of the guests will not eat…

A: Given information:Number of guests at the catered event: Percentage of guests who will not eat…

Q: Aiko loves to have friends over for "Sushi night" where she rolls her own sushi based on her guests…

A: Given,Total no.of ingredients=19

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

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

Q: The class includes 15 male and 20 female students. We need to assign 5 students per group for senior…

A: The objective of this question is to find out the number of ways to divide a class of 35 students…

Q: A student is taking 3 classes, each of which requires 1 book. In how many ways can she stack the 3…

A: The student needs to carry total 3 books.  Now, these 3 books can be stacked/arranged in 3! = 6…

Q: Mrs. Decker's Diamond Dotz class has twenty-four students. If 30% of the class finishes their…

A: Given:   Class has 24 only    Classs finsihed = 30%

Q: ianist plans to play 6 pieces at a recital from her repertoire of 26 pieces.  How many different…

A: Total number of pieces available (n) = 26 pieces. Number of pieces (r) which a pianist needs to play…

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: A room has 100 people, 99% of them are men. How many men should go out so that the percentage of men…

A: A room has 100 people, 99% of them are men.

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Given : No. of repertoire pieces = 25 A pianist plans to play 4 pieces i.e n = 4

Q: For a trip, eli packed 5 shirts, 3 pairs of pants, and 4 pairs of shoes. how many different outfits…

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Q: - Kevin divided his marbles equally into 2 bags, Bag A and Bag B. In Bag A, there were 30 more red…

A: This question is related to numbers, ratio and proportion, we will solve it by using the conditions…

Q: A couple that has just had a baby boy has 3 first names chosen out and 4 middles names. If they…

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Q: At I Love Food restaurant, you can choose from 11 appetizers, 12 entrees and 2 desserts. How many…

A: Suppose in the restaurant we can choose from appetizers,  entrees and  desserts.

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: dogs. 7 minutes after you arrived he finished 39 of the er minute. ates? hot dogs

A: In the given question, the concept of linear equation is applied. Linear Equation An algebraic…