Answered: 14. If there are 31 flavors of ice…

14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can have 2 scoops of the same flavor?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: This is a case of permutation.

Q: Ms Liza has enough lollipops to give each learner in her class.she gives each learner 3lollipops and…

Q: It tom has 6 apples and gives 2 to 2 friends.how many apples does tom has left over?

A: Given: Number of apples Tom has= 6 Number of apples he gives to his friends = 2

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: A class has 32 students. 18 have hats, and 17 do not wear glasses. 5 students wear glasses but do…

A: We use ven diagram to solve this problem.

Q: Solve each problem completely. 1. How many committees can be formed with 3 male and 4 female from 5…

A: The Permutation is the method that used to understand the number of possible arrangements with order…

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: To create and mix a salad, you have 14 different ingredients to choose from. You will mix the…

Q: You go to a store which buys 7 brands of candies (B1, B2, ., B7). You have 4 children and you want…

A: A combination is an arrangement of items in which order does not matter. Number of combinations of n…

Q: piano teacher is planning to take 4 of her 12 students to a concert. She wants to take 2 girls and 2…

A: Given query is to find the number of arrangement possible.

Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

Q: If mark has 17 grapes And gives away 2. how Many does he have left?

A: Subtraction problem

Q: There are 60 beads in a box. 3/10 of them are green, 1/6 of them are blue and 2/15 of them are red.…

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

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: 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,…

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: My Favorite Ice Cream sells 12 different flavors of ice cream. You must select 3 different flavor…

A: Given that My Favorite Ice Cream sells 12 different flavors of ice cream. You must select 3…

Q: 7 men have seven wives, each man and each wife have seven children, what's the total number of…

Q: For a fishing trip, Yolanda is going to choose lures to put in her tackle box. She has 7 lures that…

A: It is given that 7 lures that are buzzbaits and 8 that are spinnerbaits.

Q: 32. In Massachusetts there are a lot of Dunkin Donutses. It is not particularly unusual to find five…

A: There are 5 Dunkin Donuts per mile. Therefore the mean is 5 per square mile. So in 34 of a mile,…

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 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…

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: 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: A minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball…

A: Given: The minivan can hold up to 7 people.

Q: Linda must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs…

Q: Ben has some apples. 9 are red apples. 7 are yellow apples. He gives all the yellow apples to Andy.…

A: Given number of red apples = 9 number of yellow apple = 7 Ben gives all the yellow apple to Andy Now…

Q: 1. You just won 4 tickets to a concert, but you have 8 friends who would like to go with you. How…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

Certainly! Here is the transcription of the text:

---

**14. If there are 31 flavors of ice cream, how many different ways can you choose 2 scoops if you can have 2 scoops of the same flavor?**

**15. If there are 31 flavors of ice cream, how many different ways can you choose 2 scoops if each scoop has to be a different flavor?**

---

These problems involve combinations and permutations. Consider whether repetition is allowed when selecting flavors for each point.

Expert Solution

Step 1

We’ll answer the first question since the exact one wasn’t specified.
Please submit a new question specifying the one you’d like answered.

14) Given that both flavors are of the same flavor. So basically I have to pick only one flavor.

There are total 31 flavors. And I have to pick a flavor. I can pick that flavor in 31 ways.

Step by step

Solved in 2 steps

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

At Stanley Park in the summer, you are buying ice cream. You can choose one ice cream flavour, one topping and one sauce. There are 9 flavours, 7 toppings and 8 sauces to choose from. How many different combinations are there?
2 ? Select three that apply. Which of the following situations results in an answer of 3 Three cats share 2 cans of tuna. How much of a can does each cat receive? Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all? Three cupcakes are divided among 2 children. How much of a cupcake does each child receive? Two apples are split among 3 people. How much of an apple does each person receive? Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive? Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?
Which of these is a discrete random variable? None of these options The time it takes for 30 randomly selected student to write an exam. The number of students who wrote an ILC exam yesterday The volume of orange juice in 20 randomly sampled cartons Stop sharing autoproctoru.com is sharing your screen.
11. Elyse is making punch for a party that requires 2 parts of fruit juice for every 5 parts of ginger ale. To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale. How many ounces are in each container of ginger ale?
A married couple decides to have a party. The husband has 8 friends and the wife has 9 friends. Unfortunately, none of the husband’s friends will attend a party that is attended by any of his wife’s friends. How many different parties of size 4 can the couple have?
The following day 5 more coffee samples are given to choose from. Customersare told that they can take 4 sweets samples from the 11 samples of sweets and2 coffee samples from the 5 coffee samples. How many different selections doesthe customer now make?
A mother of 9 children bought 2 chocolate ice cream cones, 3 strawberry ice cream cones, and 4 vanilla ice cream cones. In how many ways can she distribute the cones among her children?
You go to a local ice cream parlor and purchase a 2-scoop cone. If there are 10 flavors to choose from: Vanilla, chocolate, strawberry, orange sherbet, lime sherbet, chocolate-peanut butter, bubble gun, cotton candy, fudge swirl and butter pecan. How many different possible 2-scoop cones could you order? (Yes, you can have 2 scoops of the same flavor.) 20 C100 10