A group of 10 friends went on a tour in Netherland. For their Amsterdam tour, each of them had to choose 1 from 4 possible places to visit on Day 1 – Anne Frank House, The Jordaan, Concertgebouw or Red Light District. They decided that every place must have at least one of them going there so that no place is left unvisited. In how many ways can they set up their day 1 tour?

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

A: Permutations and combinations

Q: From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not…

A: Solution

Q: Eleven players have gathered to play 5-on-5 basketball. (a) If they have decided that one of the…

A: a) From a group of 11 players, we can pick a 5 player team in 11C5 ways.  When 5 players have been…

Q: One semester in a chemistry class, 14 students failed due to a poor attendance, 24 failed due to not…

A: This Question can be easily solved using Venn Diagram

Q: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

A:

Q: Three men have been sentenced to long terms in prison, but due to over crowed conditions, one man…

A: For convenience sake, let the three men be P, Q, R, and let R be the man who deduced that his dot…

Q: club with eighteen members is to choose three​ officers: ​ president, vice-president, and​…

A: Topic:- permutation and combinations

Q: A food company is testing 4 chocolate chip​ cookies, 5 ​crackers, and 6 ​reduced-fat cookies. If…

A: Given : chocolate chip​ cookies : 4 crackers: 5 reduced-fat cookies: 6

Q: For the new fall season, a network president has 11 shows in development, and 8 openings in the…

A: The network president has 11 shows in development . There are eight openings in the prime time…

Q: The Raiders and Cowboys have each made up a scouting list. There are 25 players on the Raiders' list…

A:

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

Q: A student representative group is composed of Adam, Beth, Cathy, David, Erica, Fritz, and Gideon.…

A:

Q: group of 9 grade 11’s and 13 grade 12’s apply to go to a student conference in Vancouver, but there…

A:

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Given, A woman has 11 close friends. To find,  How many ways can she invite 5 of them to dinner if…

Q: A club of 136 members is in the process of choosing a president, a vice presider secretary, and a…

A:

Q: A teacher assigns a group of 30 students into 3 groups of 10. The way the assignment process works…

A:

Q: A club with eighteen members is to choose three officers: president, vice-president, and…

A: topic - permutations and combinations

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Suppose we want to choose 2 letters, without replacement, from the 4  letters A, B, C, and D. How…

A:

Q: A committee of 5 is to be chosen from a group of 10 people. How many ways can it be chosen, if Bill…

A: Below the solution

Q: Out of a group of 60 people, 20 invested in stock market, 35 had certificates of deposit, and 34 had…

A:

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: 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: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

A:

Q: A carton of 15 light bulbs contains one that is defec-tive. In how many ways can an inspector choose…

A:

Q: Suppose a library has at least 6 copies of mathematics book, at least 6 copies of a physics book,…

A:

Q: In a year 10 Maths class, there are 30 students. Each student is either 15 or 16 years old, and…

A: The probability is the chance of occurrence of an event, the probability of event A is calculated by…

Q: In how many ways can Coy drive from Caroline's city to Karl's city and return, going through Janry's…

A: Consider the following diagram to visualize the situation, As Coy begins the journey from…

Q: . Over the past year, John has purchased 30 books.(a) In how many ways can he pick four of these…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: A grocery pick-up service has 12 appointment openings one morning. If 8 customers have signed up…

A: Given, there are 12 appointment openings  and 8 customers have signed up already number of ways the…

Q: If there are 4 roads from Town A to Town B and 6 roads from Town B to Town C, in how many ways can…

A: Solution:  It is given that there are 4 roads from town A to town B and 6 roads from town B to town…

Q: A new vaccine is being tested on a group of 4000 people by giving 2500 people the vaccine and the…

A: there are total of 4000 people. Out of which 2500 are to be given a vaccine. (a) out of 4000 people…

Q: If there are 3 roads from Town A to Town B and 4 roads from Town B to Town C, in how many ways can…

A: there are 3 ways to go from A to B  4 ways to go from B to C  3 ways to go from C to B as we can not…

Q: The Mars company offers customers the opportunity to create their own color mix of M&M’s candy.…

A: It can be calculated by using combination formula  C(n,r)=n! /(n−r)!(r)!

Q: pose that twenty-five students signed up for classes during an orientation session. If exactly…

A: GivenL: n = 25 n (C) = 20 n(E) =16

Q: A committee of 6 people is to be chosen from 5 men and 8 women. In how many ways can this be done (1…

A: Solution

Q: If 4 men and 5 women are having lunch together (a) in how many different ways can they order 2…

A: 4 men and 5 women 2 chicken, 4 turkey, 3 vegan

Q: A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4), each containing 2 beds (A and…

A: Given: There are 3 rooms with 2 beds each. 3 pairs of twins are to be assigned to these 6 beds so…

Q: 3. In a sportsfest consisting of 40 males and 20 female members, if they were to pick 1 team leader,…

A: A sportsfest consist of 40 males and 20 female members

Q: Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are…

A: Given information: The total number of players in the team is N = 15. The number of left-handed…

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

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.