. A donut shop has 8 different types of donuts available. a) How many different ways are there to pick out a dozen donuts? b) How many different ways are there to pick out a dozen donuts if you want no more than 4 of any one type?

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?…

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Q: 1.A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: A permutation is a mathematical technique that determines the number of possible arrangements in a…

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: 5. When ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the…

A: 3.  choice of hard drive   4.  choice for the amount of Memory   2.  choice of video card…

Q: 2. In how many ways can 9 persons be seated in a round table with 9 chairs? 3. In how many ways can…

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

Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US…

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Q: 8. There are 18 mathematics majors and 325 computer science majors at a college. a) In how many ways…

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Q: How many different 4-letter radio-station call letters can be made   if the first letter cannot be…

A: Given: 4- letter radio-station call letter has to be made with first letter should not be A, B or C…

Q: 2. In how many ways can a MathSci Committee of five be formed from seven Math lovers and five…

A: See the detailed solution below.

Q: There are 5 third year and 4 fourth year students qualified to join a contest. In the group…

A: Given that there are 5 third year and 4 fourth year students qualified to join a contest. In the…

Q: 36. In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, 5 Filipinos and 2 Italians be seated in…

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Q: In how many different ways can the director of a design and structural department choose 2 Civil…

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Q: 19 An Engineers Association consists of 5 civil engineers and 5 mechanical engineers. (a) In how…

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Q: An urn contains 3 red balls, 5 green balls, and 2 yellow balls. (a) If you draw 3 balls, in how many…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 7) From a club of 21 people, in how many ways can a group of four members be selected? 8) A…

A: According to the question-answer guidelines the expert suppose to answer only three sub parts.

Q: 7) The applicant pool for 6 management trainee positions consists of 7 women and 5 men. a) How many…

A: We have to use formula for combination as nCr = n!/r!(n-r)!

Q: 8 Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36…

A:

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: How many ways may 5 students be elected from a club with 45 members?

A: Total number of students = 45 Number of students to be selected = 5

Q: In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific…

A: Total persons  = 8 people a) There are 8 people, there will be 8 places to arrange (here order will…

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

Q: In how many ways can you sit 8 people on a round table (a) if there are no restrictions? (b) if two…

A: Given: Total number people = 8

Q: (a) How many different committees of size 3 can be formed from 14 people? (b) From the 13 albums…

A: a) Given, No of people(n)=14 size(r)=3   How many different committees can be formed.

Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…

A: As you have asked many questions. As per the answering guidelines we will solve first question only.…

Q: The BMCC math club has 50 members. a. In how many different ways can it select a group of 4…

A: he BMCC math club has 50 members.

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

A: Note: As per bartleby guidelines for more than one questions asked, only one question with three…

Q: 7. In how many ways can a committee of three be formed from a group of 10 members?

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 1. In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4…

A:

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: 41 children need to be assigned to five Tee ball teams. The league wants each team to have 8…

A: Given that, 41 children need to be assigned to five Tee-ball teams. In order to assign all the…

Q: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: 7. Given 10 different English books, six different French books, and four different German books,…

A: Given Data: n(English)=10 n(French)=6 n(German)=4 Total=20

Q: 6-a-in how many ways may can five persons line up to get a bus ? B-in how many ways may these same…

A: b)

Q: In how many different ways can 17 faculty members form a panel consisting of a​ Chair, a Vice​…

A:

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

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Q: (1) How many ways are there to pick a 5–person basketball team from 14 possble players? (ii) How…

A: In this question, we have to use the method of permutation and combination to answer the following…

Q: 1. How many ways are there to choose a dozen donuts from 18 varieties: a) if there are no…

A:

Q: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

Q: Five persons, A,B,C,D, and E, are going to speak at a meeting. a.) In how many orders can they take…

A: Given data: Total persons = 5 ( A , B , C, D, E ) To find; a.) In how many orders can they take…

Q: 1. In how many ways may 4 people be seated in a row of 10 chairs? 2. In how many ways can a point…

A: HERE use permutation and combination

Q: 4. In how many ways may the judges in a beauty pageant choose a winner and a first runner-up if…

A: The objective is to find the number of ways that the judges can select a winner and a runner-up from…

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: 9. A committee of senior and junior executives will be formed to decide on recruitment issues. If…

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

Q: 3) In MAPEH competition, 90 medals are awarded in different categories: medals in sports, medals in…

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Q: Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ballpoint pens, and 1…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: 2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the…

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

Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.