C & J Realty has received 12 inquiries from prospective home buyers. In how many ways can the inquiries be directed to any three of the firm's real estate agents if each agent handles four inquiries?

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: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

Q: From a group of 7 women and 8 men a committee consisting of 4 men and 3 women is to be formed. How…

A: Given, 7 women and 8 men committee size 4 men and 3 women

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

A:

Q: In how many ways can the car be ordered?

A: Given :  n1 = number of colour = 8  n2 = number of styles = 2

Q: if a team of four players must be made from 8 boys and 6 girls, how many teams can be made if a.…

A:

Q: On a Friday morning, the pro shop of a tennis clubhas 14 identical cans of tennis balls. If they are…

A: Let 'n' be the number of days on which tennis balls were sold and 'k' be the number of cans of…

Q: In how many ways can a class of 19 students be assigned 2 A's, 2 B's, 10 C's, 2 D's and 3 F's?

A:

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

A:

Q: (a) How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

A:

Q: In how many ways can 8 patients be assigned to 1 private (allowing 1 person only), 1 semi-…

A: here given , 8 patients be assigned to 1 private (allowing 1 person only), 1 semi private(allowing…

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: In how many ways can president, vice-president, and secretary be chosen from a group of 20 people,…

A: Ways of selecting some fixed number of people from given set of number is done by simp0le counting.…

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: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: A family has nine children. If this family has exactly five boys​, how many different birth and…

A: Given,A family has 9 childrens

Q: A camp counselor and six campers are to be seated along a picnic bench. In how many ways can this be…

A:

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

A:

Q: A teacher requires a student to answer 5 out of 10 questions, without regard to order. How many ways…

A: Number of ways to choose r items out of n items is given by formulae: nCr Here C represents…

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: f a family has 5 children, in how many different birth orders could the parents have a 3-boy, 2-girl…

A: Given, No of children=5  how many different birth orders could the parents have a 3-boy, 2-girl…

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: If radio station call letters must begin with either the letter K or W and must include either two…

A: Given information Letter can start with letter K or W and include either two or three additional…

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

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Suppose a milling machine may suffer failure at 12 different locations. The number of ways a…

A: Problem (1 ) State the given statement is true or false

Q: In how many ways can a committee of three consisting of two lady engineers and one mal engineer can…

A: Given that  Committee consists of members  = 3  [ Lady engineers = 2 ; Male engineer =1 ] Lady…

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A:

Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

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: an automobile that was tested for production defects, but assume that the number of production…

A:

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

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

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

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

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: An appliance store carries 9 types of washing machines and 5 types of dryers. A shopper comes in and…

A: Total number of washing machines = 9 Total number of dryers = 5

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: Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute…

A:

Q: n a class of 280 first year students, 65 study only Spanish, 100 study Chemistry, 175 study…

A: Given: There are 280 students in a first year class. 65 students study only Spanish. 100 students…

Q: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

Q: As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1…

A: Given: Anita has a costume wardrobe that consists of 2 pairs of tights (1 white and 1 black), 3…

Q: Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of…

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Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A:

Q: In a class of 16 students, there are 6 male students and 10 female students. In how many ways can…

A: Note: Since, you haven't mentioned. For which question you would like to get answered. Here we are…

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.