If a plumber and a helper can install a water heater and a half in a half day, then how many water heaters con 20 plumbers and 20 helpers install in 20 days?

Q: if there are no restrictions? if Holly and Sam cannot sit together?

A: here given ,  Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together, They…

Q: Suppose Pat has eight shirts and four pairs of pants. How many different outfits  can Pat make by…

A: The person has 8 shirts and 4 pairs of pants and he can make one outfit by combining one shirt with…

Q: How many ways can 3 female students and 4 male students be seated on a long bench if the bench can…

A: To accommodate 3 female students and 4 male students, there are so many possibilities like all the…

Q: Find the number of diffcrent ways that 6 boys and 4 girls can stand in a line if () all 6 boys stand…

A: Number of boys= 6 Number of girls= 4

Q: There are 2 copies each of 4 different books. In how many ways can they be arranged on a shelf?

A:

Q: There are 16 seniors and 20 juniors in a particular social organization. In how many ways can 2…

A:

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

A:

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

A:

Q: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: There are 280 students in 20 classes. If the number of students in each class is  the same, then how…

A: We have no of students..

Q: There are ducks and pigs in a farm. Together, there are 35 heads and 100 legs. Assuming that each…

A: Simplification

Q: A baseball team takes a road trip and plays 6 games. In how many ways can they win 4 and lose 2…

A:

Q: A sum of $1300 is divided amongst P,Q,R and S such that P share/Q share = Q share / R share=R…

A:

Q: A president, vice president, and 3 at-large members are selected for a school council from 9 people.…

A: Given that president, vice president and 3 at-large members are selected from 9 people.   Number of…

Q: If the first chapter of a certain book is 30 pages long and makes up 10% of the book, how many pages…

A: Given that, the first chapter of a certain book is 30 pages long and makes up 10% of the book.

Q: Three married couples have bought 6 seats in a row for a concert. In how many ways can they be…

A: The number of arrangement in a row is n!.

Q: f n ∈ n and n<2000 , how many numbers n have the property that the sum of the digits of n and the…

A: Given, if n∈ℕ and  n&lt;2000.

Q: box with a square base and no top is to be made from a square piece of tin by cutting out a 3-inch…

A: Given, Square base No top Volume= 48 cubic inches

Q: An employee at a construction company is ordering interior doors for some new houses that are being…

A:

Q: Each marble bag sold by Michael's Marble Company contains 3 blue marbles for every 5 orange marbles.…

A:

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

A:

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: = Given that ,4 married couples have bought 8 seats in same raw for concert .which means there are 4…

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 how many ways can 4 CS students and 5 IT students sit in a row if the CS and IT students must…

A:

Q: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: If n∈N and n<2000 , how many numbers n have the property that the sum of the digits of n and the sum…

A:

Q: If there are 150 bacteria after 2 hours and 900 bacteria after 6 hours, how many bacteria were…

A:

Q: (a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways…

A: Given: People buy raffle tickets = 200

Q: In how many ways can 6 boys and 7 girls sit in a row if the girls and boys must alternate?

A:

Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…

A: Combination is the way of selecting a units from a set without considering position of order. The…

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

A: Combination Rule:A combination is a selection of all or part of a set of objects, without regard to…

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: In a class there are 20 female students and 10 male students. In how many ways a volunteer group can…

A:

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: 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: Assume that five men and five women are to sit in a row of ten chairs how many ways can these people…

A: Five men and five women are sitting in a row of ten chairs.

Q: A student has to answer 8 questions, choosing at least 4 questions from each of parts A. If there…

A: Given,no.of questions in part A=6no.of questions in part B=7

Q: A room with X full rows of chairs has every chair filled with a person. If there are y people…

A:

Q: In how many ways can two admirals, three generals, and four lieutenants can be seated in a row of…

A:

Q: Suppose  a culture of 300 bacteria is put in a petri dish and the culture doubles every hour.…

A: Given: - A culture of 300 bacteria is put in a petri dish and the culture doubles every hour. To…

Q: a committe of 5 people is to be chosen from a group of 6 men and 4 women how many committed are…

A:

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…

Q: How many ways can 3 men and 4 women be seated on a bench if the women to be together?

A:

Q: Suppose a department contains 12 men and 15 women. How many ways are there to form a committee with…

A: According to the question  number of combination 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.