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: Loyd finds 8 shirts in his size at a clearance sale. How many difference purchases could Loyd make?…

A: We know that: n! = nx (n-1) x (n-2) x (n-3) ........x 2 x 1 nCr = n! / r! (n-r)!

Q: At Luigi's favorite Italian restaurant, the lunch special has a selection of 7 appetizers, 4…

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: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

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: You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 14…

Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: At a deli counter there are 7 sandwiches with meat and 6 vegetarian sandwiches. Carols is at the…

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: 4. A student must answer exactly seven questions out of twelve on the final exam. In how many ways…

A: We have to find the number of ways she can choose to answer the questions.

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: Pizza House offers 2 different salads, 5 different kinds of pizza, and 3 different desserts. How…

A: From the provided information, Pizza house offers 2 different salads, 5 different kinds of pizza and…

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

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: Heidi has 4 necklaces and 6 pairs of earrings. In how many different ways can she select a necklace…

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

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

Ben has some apples. 9 are red apples. 7 are yellow apples. He gives all the yellow apples to Andy. He eats 1 red apple. How many apples does he have left?
1. You just won 4 tickets to a concert, but you have 8 friends who would like to go with you. How many different ways can you give out the extra 3 tickets to your friends? 2. The booster club has 10 people running for the offices of president, vice-president, secretary and treasurer. How many ways can the offices be filled?
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?
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice cream cones can a customer order? The answer is
after gym class u are tasked with putting the 33 identical dodgeballs away into 9 bins. how many ways can you do this if each bin must contain at least one dodgeball
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