A contractor would like to build 9 houses, each with a different design. In how many ways can he put these houses on the street if 6 plots of land on one side of the street and 3 plots on the other side? *

Q: A street vendor sells six different kinds of fresh fruit: apples, bananas, oranges, pears, kiwis and…

A: Given that , a street vendor sells six different kinds of fresh fruits each worth $1. To find the…

Q: How many ways can a 4 member committee be selected from a club with 15 members? If the club's 15…

A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

Q: A company has 10 male and 11 female employees, and needs to nominate 3 men and 3 women for the…

A:

Q: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

A: Given: How many different ways can 3 outfielders and 4 infielders be chosen from 9 outfielders and 7…

Q: A typist has 5 letters and 5 addressed envelopes. In how many different ways can the letters be…

A:

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

A:

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination

Q: A farmer plants 4 apple trees for every 3 pecan trees in the orchard. She plants 2 peach trees for…

A:

Q: Explain how you would find out how many committees of 4 boys and 2 girls can be found from a group…

A:

Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A:

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company…

A: Number of male employees = 8 Number of female employees = 7

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: How many different committees consisting of 3 men and 2 Jadies each can be for 3. from a group of 6…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: A department store manager wants to display 6 brands of a product along one shelf of an aisle. In…

A: According to the provided information, A department store manager wants to display 6 brands of a…

Q: Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3…

A:

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many…

A: Given,   There are 8 members on a board of directors. If they must form a subcommittee of 6 members.

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

Q: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

Q: A company has 12 male and 8 female employees, and needs to nominate 3 men and 3 women for the…

A: Solution-: A company has 12 male and 8 female employees and needs to nominate 3 men and 3 women for…

Q: A company has 12 males and 9 female employees, and needs to nominate 2 men and 2 women for the…

A: Determine the number of teams can be formed.   The number of teams that can be formed is…

Q: A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

A:

Q: From 6 female employees and 5 male employees, how many groups of 5 employees can be organized…

A: There are 6 female employees and 5 male employees.

Q: A pottery studio gives three- hour and four- hour ceramics classes for $49 an hour. If the studio…

A:

Q: From 50 attendees of a party, 3 major prizes will be given away. If each attendee can only win once,…

A: Given Data: n=50   number of prizes=3

Q: How many baseball teams of 9 members can be formed from 14 players?

A:

Q: How many different committees of 3 men and 4 women can be formed from 8 men and 6 women? solve by…

A:

Q: A committee of 6 students has to be formed from 10 boys and 8 girls. In how

A: As per Bartleby's guidelines, three parts of the given question can be solved at a given time. Given…

Q: how many ways can 3 outfielders and 4 infidlers be chosen from 5 outfeilders and 7 infeilders?

A:

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: Given: There are 33 Democratic senators and 67 Republican senators. Find the number of ways in which…

Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

A:

Q: If 16 new teachers are to be divided among 4 schools, how many divisions are possible? What if each…

A: Solution: Given data 16 = new Teachers 4 = schools To find: 1.How many division are possible 2.If…

Q: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served in 3…

A: Given info: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served…

Q: There is a town party in Pleasantville where 6 families of 3 people each get together. If one…

A:

Q: From among 5 engineers and 7 technicians, it is required to form a committee consisting of 2…

A:

Q: Find the number of ways in which 6 teachers can be assigned to 4 sections of a math course if no…

A: Solution: 5. From the given information, there are 6 teachers and 4 sections.

Q: There are some raisin and chocolate muffins in a pastry shop. If 84 raisin muffins are sold, - of…

A: let there be x raisin muffins and y chocolate muffins total number of muffins will be x+y according…

Q: Find the number of different ways that an instructor can choose 3 students from a class of 29…

A: Find the number of different ways that an instructor can choose 3 students from a class of 29…

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: How different committees can be formed from 10 women and 7 men if the committee many consists of 4…

A:

Q: How many committees of six can be formed from 18 Republicans and 20 Democrats if three members of…

A: Provided information: Number of Republicans members = 18 Number of Democrats members = 20

Q: How many ways can 6 joggers line up single-file to get a drink from a water fountain?

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: If 500 pizzas will be ordered this month... How many should be cheese? How many should be pepperoni…

A: The relative frequency of single topping pizza sales is shown in the given table.

Q: 2. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5…

A: Find the number of ways of arrangement

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.