2.A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different cooling system, a garage, and a patio porch. How many different plans are available to a buyer?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: 3. In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants for Civil Engineers is, n(C1)=7. Number of required for Civil Engineers…

Q: Forty cities were researched to determine whether they had a professional sports team, a symphony,…

A: a to e are solved

Q: 1. If there are five types of batteries which are AAA, AA, C, D, and 9-volt and you want to put…

A:

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

A:

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Total number of candies = 310 Number of candies to be selected = 7

Q: 10. A tourist group visiting Las Vegas for 5 days would like to stay in 5 different hotels. If the…

A: There are 10 hotels and the people are staying for 5 days so the choice needs to be made of 5 hotels…

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

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

A:

Q: At the horse races (with ten horses competing), in how many ways can the top three places be…

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

Q: An audio equipment store has ten different amplifiers, four tuners, seven turntables, nine tape…

A:

Q: A student is given a reading list of eight books from which he must select two for an outside…

A: A student is given a reading list of eight books from which he must select two for an outside…

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​…

A: Here, we have 15 qualified candidates, out of which using the 4 candidates we have to appoint a…

Q: The number of ways in which a committee of 6 members can be selected from 6 male and 4 female…

A: We have given that 6 male and 4 female parliamentarians. And we need to select 6 members for…

Q: An overnight express company must include five cities on its route. How many dif- ferent routes are…

A: no. of cities = 5

Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 16 and 20…

A: We have to solve

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: If the population of NM = 2.097 million persons and Dona Ana county has a population of 218,185. The…

A: Given: Total population of NM(n) = 2.097 million = 2097000 Population of Dona Ana county (x)= 218185

Q: assume that you have a committee of 8 members, and that you must choose a chairperson, and…

A: Given data: Assume that you have a committee of 8 members, and that you must choose a chairperson,…

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

Q: In a cooperative group consisting of 7 students, how many different ways can a leader, recorder,…

A: Combinations is a technique to determine the possible arrangements in a collection of items where…

Q: 2.6. Assume you are picking a number of players to start in a baseball game. You can have up to 15…

A: Given that, The number of starting players is 15. The number of players who cannot play is 10. The…

Q: Thirty - nine cities were researched to determine whether they had a professional sports team , a…

A: Hint: Use Van Diagram.

Q: A certain lock has four tumblers, and each tumbler can assume five positions. How many different…

A: A certain lock has 4 tumblers. Each tumblers can assume 5 positions.

Q: 6. From a pool of 10 candidates, a company has to choose a president, vice president and a…

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: (a) How many committees can be formed? (b) How many committees can be formed with at least 2 men?…

A: here total 8 men and 7 women that is 15 employees in office committee of 4 member has to be formed…

Q: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: From a club of 20 people, in how many ways can a group of three members be selected to attend a…

A: To select 'm' from total 'n' is n!m!(n-m)! or nCmHere m = 3, n = 20, we get

Q: Suppose 135 students are surveyed about their favorite ice cream flavors with the following res 63…

A:

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) with no…

A: Since , there are a group of 4 men and 5 women. Therefore , the total number of people=n=4 men + 5…

Q: In a manufacturing operation, a part is produced by machining, polishing, and painting. If there are…

A: As per guidelines expert gave to answer first question only

Q: How many 4-person committiees can be formed from a group of 8 teachers and 5 students if there must…

A: If there is 1 teacher, then there must be (4-1)=3 students.  We can pick 1 teacher from 8 teachers…

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

A:

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

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: A club has 13 women and 7 men. They decided that at leats two women should represent them on the…

A:

Q: 35. Determine the number of ways in which a distributor can choose 2 of 15 warehouses to ship a…

A: It refers to the situation where order of occurrence of event does not matter.Number of selection of…

Q: Exercise #3 (Portfolio) Answer the following. 1. In how many ways can a committee of three be formed…

A: Note: As per bartleby guidelines for more than one questions asked, only one question is to be…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.…

A: a) For each number we have 20 choices. Each position is independent of other positions  So by…

Q: At a blood drive, 5 donors with type O positive blood, 4 donors with type A positive blood, and 3…

A: Suppose there are n items to be arranged in a row. Further consider that each of these n items is of…

Q: In how many ways can a PICE chapter with 30 directors choose a president, a vice president, a…

A:

Q: Assuming that no one has more than 1,000,000 hairs on the head of any person and that the population…

A: We can use Pigeonhole principal to answer this question.

Q: 2. An emergency committee consisting of 12 health's officer staffs is chosen from 10 doctors and 12…

A:

Q: Suppose an organization elects its officers from a board of trustees. If there are 52 trustees, how…

A: Given: Number of trustees = 52 Board has to elect a president, vice-president, secretary, vice…

Q: In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course,…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.