You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5 friends who want to come along. 1. Does order matter in this situation? For example, would bringing friends 1, 2, and 3 count as a different 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?

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: The model of the car you are thinking of buying is available in three different colors and two…

A: Lets understand it very basic way. Lets say 3 different colors be R, B, G and  two different styles…

Q: The model of the car you are thinking of buying is available in seven different colors and four…

A:

Q: Answer each question. 1. How many ways are there to select 7 people from 14 people? 2. How many ways…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Emma’s pizza shop has 21 different toppings, three kinds of sauce, and three kinds of cheese. Assume…

A: Given, Total toppings = 21 different toppings Total sauce      = 3 different sauce Total cheese    =…

Q: After a late night of math studying, you and your friends decide to go to your favorite tax-free…

A:

Q: You have 6 books that you want to donate, and there are 20 poor students. In how many ways you can…

A: The number of ways to select r things out of n is given by the formula nCr=n!r!(n-r)!. First,…

Q: 100 people went to the amusement park.  51 went on roller-coasters, 29 went to the haunted house and…

A: Introduction: Suppose A, B, and C are three events, and n (A), n (B), and n (C) are the respective…

Q: Answer this question correctly, please and thank you! Mrs. Reid is going on a trip. She has 9 books…

A: Given that Mrs. Reid is going on a trip and she has 9 books that she hasn't read yet, but she wants…

Q: In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in…

A:

Q: 14. The four women Anne, Betsie, Charlotte and Dolores and the six men Eric, Frank, George, Harry,…

A: Permutation: When the arrangement of the objects or numbers in an order matters then, this is called…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: You have 7 adult emus and 6 juvenile emus. How many ways are there to choose a group of emus so…

A: no.of adult emus=7no.of juveniles emus=6

Q: A canteen offers 4 choices of appetizers, g choices of main meals and 5 choices of desserts. A…

A: Given : A canteen offers 4 choices of appetizers, 8 choices of main meals and 5 choices of desserts.…

Q: You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without replacement).…

A: Answer:----.                 Date:----11/10/2021

Q: A survey of 100 students asked them about the lunch room meals they liked: 42 students liked…

A: Let us denote:  C=chicken fingers, P=pizza, H=hamburger Given that :n(C)=42, n(P)=60, n(H)=47,…

Q: Derek, Abdul, Bernard, and Suzie are playing hide-and-seek and taking turns being 'it'. In how many…

A:

Q: You are preparing the program for a concert. If the band has 10 songs prepared and will play 6 of…

A: band had 10 songs and play 6 of them .  order of song is important.  no. of ways to do programs = ?

Q: Q4. A group of students: Saif, Al Mohanned, Abdullah, Rihab, Shahad, Manar, Thuwaiba, Lamees, and…

A: Permutations and Combinations are used to arrange different persons on different chairs Total chairs…

Q: You are making a string of coloured balloons as a decoration for the formal. If you have five green,…

A: Solution: From the given information, there are five green, six gold and four white balloons. Total…

Q: . Determine the number of distinguishable arrangements of shirts possible for the display.

A: George is creating a display table for a shirt sale. There are 15 total shirts to display one by…

Q: 1. Suppose you work at a music store and have four CDs you wish to arrange from left to right on a…

A: For n different item, there are n! ways to arrange them,  Here we have four CDs we wish to arrange…

Q: A class has 35 students. In how many different ways can five students form a group for an activity?…

A: According to the given information, we haveA class has 35 students.

Q: 7. A store sells clothes for men. It has 3 kinds of jackets, 7 kinds of shirts, and 5 kinds of…

A:

Q: There are six movies and three books that Caleb wants to watch or read over his summer vacation. How…

A: Given:  There are 6 movies and 3 books that caleb want to watch and read over summer vacation.  We…

Q: Jessica is grocery shopping and has 16 cherry tomatoes and 12 grape tomatoes in her shopping basket.…

A:

Q: Your club would like to form a committee that has 2 sophomores, 3 juniors, and 4 seniors. If there…

A: In this question out of 7 sophomores we have to choose 2, Out of 8 juniors, we have to choose 3 and…

Q: The placemats, plates and napkins are already set; you are given 4 forks, 4 knives, and 4 spoons to…

A: From the given information, there are 4 forks, 4 knives and 4 spoons to complete the job. That is,…

Q: A computer package comes with two different choices of printer, four different monitors, and 2…

A: From the provided information, A computer package comes with two different choices of printer, four…

Q: A room has 4 doors. In how many ways can an individual make a trip into this room and out again if…

A: Solution-: A room has 4 doors. In how many ways can an individual make a trip into this room and out…