A frozen yogurt store has 11 toppings to choose from. In how many ways can 3 of the 11 toppings be selected?

Q: if there are no restrictions? if Holly and Sam cannot sit together?

A: here given ,  Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together, They…

Q: An appetizer platter has a selection of 88 different appetizers. Mario plans to choose 3.3. How…

A: Number  of different appetizers = 88Mario plans to choose = 3

Q: You must select 3 individuals from a group of 5 for a conference. How many teams of 3 might you…

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Q: A group of 12 people are going to run a race. The top 6 finishers are going to advance to the next…

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Q: A catering service offers 12 appetizers, 10 main courses, and 9 desserts. A customer is to select 3…

A: 12 appetizers 10 main courses 9 desserts   A customer is to select 3 appetizers, 6 main courses, and…

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

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Q: There are 24 wheels total among a group of wagons and bicycles.  How many bicycles are there? How…

A: Let the number of bicycles be B and the number of wagons be W. There are two wheels in a bicycle, so…

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: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: The supreme choice pizza at Pete's Pizza contains 3 different types of meat and 2 different…

A: It is given that a supreme choice pizza at Pete’s Pizza contains 3 different types of meat and 2…

Q: Paul has 5 books to place on a shelf. How many possible arrangements of all 5 books are there?

A: given data 5 books to place on a shelf. no. of possible arrangements of all 5 books = ?

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

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

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Q: Six different books need to be placed on a shelf. You randomly arrange the books on the shelf from…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

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

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Q: 50 people were surveyed about whether they like the ice cream flavors vanilla and 20 people liked…

A: Let the people who like vanilla be denoted by V and people who like strawberry be denoted by S.…

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…

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Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: A lady has 4 dresses and she want to bring 2 of them with her on the trip. How many ways to choose 2…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

A: A donut store has 10 different types of donuts. You can only buy a bag of 3 of them, where each…

Q: A person has 3 shirts, 2 pants and 5 shoes. How many combinations can be made?

A: GivenA person has no.of shirts=3No.of pants=2No.of shoes=5

Q: Alex wants to choose 12 cookies to eat from a package. There are 7 different varieties of cookies to…

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

Q: Ladonna has 7 books to place on a shelf. How many possible arrangements of all 7 books are there?

A: Given,Total no.of books=7

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: A bag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be…

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Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A restaurant offers a dinner special that lets you choose from 10 entrees, 8 side dishes, and 13…

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Q: A chocolate company does a tasting. The company makes 19 different varieties of chocolate and the…

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Q: A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How…

A: Given that a box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are…

Q: In a class with 10 boys and 8 girls, 5 girls and 4 boys will be chosen. how many ways can the…

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