A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii) In how many ways can he schedule his deliveries  if he can deliver to only 7 of the 10 customers?

Q: A fleet of nine taxis is to be dispatched to three airports in such a way that two go to airport A,…

A: Given, A fleet of 9 taxis is to dispatch to the three airports A, B, and C also, 2 go to A, 6 go to…

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: At the end of the day, a bakery gives everything thatis unsold to food banks for the needy. If it…

A: Consider, Number of apple pies left (n) = 12 Number of food banks (r) = 6

Q: In how many ways can 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit…

A: we have to solve given problems:

Q: In how many ways can 5 men and 3 women be arranged in a row if no two women are standing next to one…

A: Number of men in the row is 5. Number of women in the row are 3.

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

A:

Q: A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an…

A: In the given question we have to calculate the ways by which the hats can be given to each friend.

Q: Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to…

A: Three married couples are to be seated in a row having six seats in a cinema hall. We have three…

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 6 is to be…

A: As there are 11 girls and 9 boys now if a team of 6 is to be selected. 1) Number of different teams…

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A: See the attachment

Q: Assume that there are 9 girls and 8 boys in the neighborhood club, and a team of 5 is to be…

A: As there are 9 girls and 8 boys now if a team of 5 is to be selected.1) Number of different teams…

Q: c) There are 5 airplanes ready to depart. Runway A and runway D are available. How Many ways can 2…

A: We Know that there are 5 airplanes ready to depart. Runway A and runway D are available. We have to…

Q: In how many ways can 3 Americans, 4 Frenchman, 4 Danes and 2 Italians be seated in a row of 13 seats…

A:

Q: A garden has two rectangular flower beds.  In the first bed, we will plant five different flowers in…

A: Given that, A garden has two rectangular flower beds.  In the first bed, we will plant five…

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: nd presently has 3 lots to build on

A: Given : a contractor builds homes of 6 different models and presently has 3 lots to build on.  we…

Q: how many ways can Dr. Yes invite 8 of his friends if he has to invite at most 4 at a time?

A:

Q: Suppose that 4 Pistons need to be installed in a new engine block. there is a production run of 100…

A: Given, there is a production run of 100 Pistonsand 4 Pistons need to be installed in a new engine…

Q: A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an…

A: To find In how many ways can the coat room clerk return the hats so that everyone receives the wrong…

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: A take-out restaurant offers 6 different kinds of sushi. If they have exactly 4 pieces of eachkind…

A: Given: There are 6 different kinds of sushi, with exacctly 4 pieces of eachkind. To determine:…

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

A:

Q: A staff car park at a university has 13 parking spaces in a row. There are 9 cars to be parked.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: Assume that there are 8 girls and 12 boys in the neighborhood club, and a team of 6 is to be…

A: Given information: Number of girls, g = 8 Number of boys, b = 12 A team of 6 is to be selected. It…

Q: mball machine dispenses 5 varieties of gumball (red, blue, green, yellow, and pink). How many…

A: a. The collections of 10 gumballs, at least 6 of which are red are ,  The cases obtained are  6 red…

Q: In how many different ways can the director of a research laboratory choose two chemists from among…

A: Solution: Given information: Chemists applicants = 11  Physicists applicants = 7   To choose 2…

Q: How many ways are there to pick 10 pieces of fruits from a fruit hawker who has four types of…

A: Given information: The number of mangoes in the basket are n(M) = 3. The number of peaches in the…

Q: A group of 10 people consists of 2 boys, 3 girls and 5 adults. In how many ways can a team of 4 be…

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

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: Given that the picture has to be taken for 6 people out of 10 where exactly one of the bride or the…

Q: To fill a number of vacancies, the personnel manager of a company has to choose three secretaries…

A: The number of ways a company has to choose three secretaries from among ten applicants can be done…

Q: Spider has one sock and one shoe for each of its 8 legs. In how many different ways can the spider…

A: There are 8 socks and 8 shoes.

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson…

A:

Q: suppose that ten service customers need service call and the maintenance worker can only service…

A: Consider the given information. Total Number of service customers = 10 Number of services done each…

Q: There are 5 boys and 4 girls. How many different ways are there to arrange these 9 persons in a row…

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: b) 1 red, 1 blue, 1 black, 1 yellow and 1 white car are all waiting at the traffic lights behind…

A:

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

A:

Q: In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each…

A:

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: suppose that five service customers need service call and the maintenance worker can only service…

A:

Q: A university student is selecting courses for his next semester. He can choose from 6 science…

A:

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to select a…

A:

Q: A company has 7 male and 12 female employees, and needs to nominate 2 men and 2 women for the…

A:

Q: 2. A plate number is made up two consonants followed by How many plate numbers are possible. a. if…

A: A plate number is made by two consonants, three non-zero digits and vowel.

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.