a) Suppose you are trying to decide what to have for breakfast. You can chose between cereal and a toast, and you have four choices for what to drink: coffee (hot or cold), juice (apple or orange), tea (iced or hot), or water (Sparkling or cold). Draw a tree diagram for all the possibilities. Write down the possibility space.

Q: An academic building consists of three floors. There are 10 offices on each floor including 3 corner…

A: In mathematics, a permutation of a set is, loosely speaking , an arrangement of its members into a…

Q: The 23 colleges of interest to a high school senior include 4 that are expensive (tuition more than…

A: Solution

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: When the members of a family discussed where their annual reunion should take place, they found that…

Q: The 13 colleges of interest to a high school senior include 4 that are expensive (tuition more than…

A:

Q: A survey of 700 households revealed that 300 had only a tv, 100 has only a computer, and 100 had…

A: It is given that, the number of households has only a tv is 300, only a computer is 100, had either…

Q: A sports team has 4 distinct positions. Out of 10 players, how many starting teams are possible if…

A:

Q: If in a convention, 53 people liked coffee A, 52 people liked coffee b, 42 people liked the coffee…

A:

Q: A box contains 3 black spheres and 4 white spheres. Draw a tree diagram to represent the procedure…

A: A tree diagram is a diagram, which shows all the possible outcomes associated with an experiment,…

Q: 7 Assume that the student has a cup with 6 writing implements: 3 pencils, 2 ball point pens, and 1…

A: Given that a student has a cup with 6 writing implements :3pencils,2 ball point pens and 1 felt -tip…

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A:

Q: 5. Is it possible to plant 10 trees in 10 straight rows, with 3 trees in each row? Hint: Desargues…

A:

Q: In a survey of 103 ​resorts, it was found that   30 had a spa. 58 had a fitness center. 38 had a​…

A: Let A represents the spa, B represents the fitness center and C represents the children's club. From…

Q: Make a venn Diagram: In our classroom of 39 students, 11 students have a blue pen, 14 students have…

A: Total number of students = 39 No. of Students having only blue pen = 11 No. of Students having only…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

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

Q: A box contains three black spheres and four white spheres. Draw a tree diagram to represent the…

A: We have given that.  A box contains three black spheres and four white spheres. We have to find.…

Q: When the members of a family discussed where their annual reunion should take place, they found that…

A: Member would not go to park be n(P)=12 Member would not go to beach be n(B)=10 Member would not go…

Q: 10. A fiower farmer predicts that 85 % of the rose in the bushes he plants will grow rose buds that…

A: Define the events as follows: P : The roses in the rose bush predicted to bloom P': The roses in the…

Q: A sports team has 4 distinct positions. Out of 10 players, how many starting teams are possible if…

A: Combination is the arrangement without considering the order while permutation of a number of object…

Q: The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to guarantee…

A:

Q: student must choose 1 of 4 mathematics electives, 1 of 7 science electives, and 1 of 6 programming…

A: student have 4 option for mathamatics                        7 option for science…

Q: 1. The manager of the Yankees has to choose 28 players for an upcoming game agai the Phillies. On…

A: a) Here he selects as a group, so the arrangement is not required. So we will use the combination…

Q: There are four routes, A, B, C, and D, between a per-son’s home and the place where he works, but…

A: Number of routes = 4 A, B, C, D Route B is from work to home only. Route C is from home to work…

Q: 2) While out to dinner you have to choose an entrée, either seafood or pasta. You then have to…

A: The tree diagram is shown in step 2. The first set of branches shows entrees, the next set shows…

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: 100 college students were surveyed, and it was found out that all of them have visited at least one…

A: The answer is attached below,

Q: 1. a) An ice cream cart sells three flavors; chocolate, vanilla, and strawberry. If you order a cone…

A: Possible outcomes : An outcome is a possible result of an experiment or trial in probability theory.…

Q: A collection of eight blue blocks and seven red blocks, all with distinct shapes, are to be lined up…

A: When the blocks are lined up, their position can be marked up as   (1) (2) (3). . . . . . . (15)  As…

Q: How many 4-person committees are possible from a group of 10 people including Francis and Jojo if…

A: Given: Total number of people = 10 (including Francis and Jojo)Required committees = 4 person

Q: 7.The 11colleges of interest to a high school senior include that are expensive​ (tuition more than​…

A: Consider the provided question, Given, The 11 colleges of interest to a high school senior include 7…

Q: In how many ways can 3 acacias, 4 narras, and 3 mahoganies be arranged along a property line if one…

A: It is given that, the number of acacias 3, narras 4 and mahoganies  3.   Formula used: The number of…

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: The 12 colleges of interest to a high school senior include 8 that are expensive​ (tuition more…

A: It is given that, 12 colleges of interest to a high school senior include 8 that are expensive​…

Q: When the members of a family discussed where their annual reunion should take​ place, they found…

A: Given: Shorthand representation NP= Not go to the park NB= Not go to the beach NC= Not go to the…

Q: Suppose Texas A&M University-Commerce has five scholarships available for the women's basketball…

A: Given data: Player Rank by caan Rank by Cannell difference (d) d-square 1 5 3 2 4 2 7 5 2 4…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: a) The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: 26. There are four routes, A, B, C, and D, between a per- son's home and the place where he works,…

A: Given, There are four routes, A , B , C , and D , between a person’s home and the place where he…

Q: The 23 colleges of interest to a high school senior include 4 that are expensive (tuition more than…

A:

Q: The 22 colleges of interest to a high school senior include 7 that are expensive (tuition more than…

A: Given Data: n=22 n(E)=7 n(F)=7 n(EUF)=5

Q: Suppose we want to choose 2 object, without replacement, from the 4 objects pencil,eraser, desk ,…

A: If we want to select 2 object among 4 object without Replacement. Then the number of ways is

Q: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row, then there are 20 arrangements possible…

A: Given details: If Aang, Katara, Zuko, Toph, and Sokka sit down in a row. To check then there are 20…

Q: 3. A teacher will ask the first student that arrives to class to hand out papers, the second student…

A: given,      total number of students =16, first student to hand out papers ,second student to take…

Q: 2. There are 102 students in John's freshman seminar class at SUNY Oneonta. The professor tells her…

A:

Q: 1. Mary can travel from St. John's to Corner Brook by car, bus, or plane and from Corner Brook to…

A: The solution is given below

Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

A:

Q: If dining time is 60 minutes, the lounge seats 48, and there are 180 dining-room seats, then the…

A: The second option is the correct choice. Use the queuing model to find the turning time for every…

Q: Kimberly decides to have a computer custom-made. She can select one option from each category:…

A: Here we have to answer question based on combination.

Q: Suppose that there is a proposal on campus involving the bus schedule, in which students were asked…

A: 50% favored Saturday service 57% favored late-night service 30% favored both.

Q: In how many ways can a large retail store select 3 sites on which to build a new store if it has 12…

A: We have to find given combination possible.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.