You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5friends who want to come along.1. Does order matter in this situation? For example, would bringing friends 1, 2, and 3 count as adifferent combination than bringing friends 1, 3, and 2? Explain your reasoning.2. How many different groups of friends could you take with you?3. Explain how you got your answer.4. What patterns did you recognize as you worked through this problem?

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Answered: You just got a free ticket for a boat…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let's say you went out for ice cream. The store had 8 different flavors, and you wanted a triple-decker ice cream cone. How many different triple-decker ice cream cones are possible at this store, assuming that you pick 3 different flavors? (Assume the order of the scoops does not matter.)
You are preparing the program for a concert. If the band has 10 songs prepared and will play 6 of them, how many different programs are possible? Assume that changing the order of the songs is a different program.
You have 5 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so exactly 4 are adults and 2 are juveniles?
Jessica is grocery shopping and has 16 cherry tomatoes and 12 grape tomatoes in her shopping basket. When she gets home, she prepares her ingredients for lunch, but she forgets which of the tomatoes are cherry and which are grape. She cannot distinguish between the two types of tomatoes, so she just picks 13 tomatoes. How many different sets of 13 tomatoes are possible if there are exactly 7 cherry tomatoes?
A box contains 47 stalks of flowers of which 20 are tulips, 15 roses and the rest are marigolds. How many ways to choose three flowers if i. they are all of different type. ii. they are all of the same type.
COMBINATIONS 3. Ms Cruz asked Pearl to call two more of her classmates to help her carry their textbooks in class, if there are 12 students in Ms Cruz sections, how many different groups of students could Pearl take with her?
Watch the video and then solve the problem given below. Click here to watch the video. Set A = {1, 2, 3, 4, 5} and set B={Ford, Chevy, Toyota, Kia, Honda). Are sets A and B equivalent? Choose the correct answer below. O A. Yes, sets A and B are equivalent because they both have the same number of members. O B. Yes, sets A and B are equivalent because both sets are in braces. C. No, sets A and B are not equivalent because they do not have the same members. O D. No, sets A and B are not equivalent because they do not have at least one of the same members.
PART IV. Solve the following problems. You have eight books and are going to put four on a bookshelf. How many different ways can the books be ordered on the bookshelf? 1. You have seven books and are going to randomly select three to read. How many different combinations of books might you select?
Mr. Gon is planning to buy a car from two stores. From the first store, there are 3 models, 2 colors and he can choose between manual or automatic transmission. From the second store, there are 4 models, 3 colors and he can also choose between manual or automatic transmission. How many different choices does he have? O 140 36 O 42 O 432
Assume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.
You are decorating a chocolate cupcake to give to your friend, and you can choose from any of the following decorations: icing, sprinkles, gummy bears, sour keys, and peanuts. You can choose any number of decorations that you can, but you know that your friend will also be happy if there are no decorations on the cupcake. How many ways can you prepare this cupcake?
PROBLEM SOLVING 1. You have 5 dogs that are all unique. You want to pick two, to be given to your younger cousin for her birthday. How many different combinations of dogs you can make from 5 dogs? 2. The class of Ms. Jina is composed of 10 males and 5 females. In how many ways can he fill the positions of president, vice president, secretary, treasurer, auditor, and business manager? 3. There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you select at least 5 defective light bulbs when you choose 10 light bulbs at random?

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