In how many different ways can 4 passengers be seated in an airplane if each passenger can select any of 7 vacant seats?

Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

A:

Q: Among six men and four women accountants employed by an accounting firm, two will be offered…

A: Given, Men accountants =6 Women accountants =4   Total No of accountants = 6+4= 10 No of ways can…

Q: There are 11 teams in a league. How many games are played if every team plays each other twice?

A: Suppose there are n teams. Also suppose that all the teams play every other team twice. Then the…

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: A sales assistant is hanging 13 sweaters on a rack. He has 3 gray sweaters, 4 green sweaters, and 6…

A: Where, n= total number of sweaters=13n1=gray sweaters = 3n2=green sweaters = 4n3=brown sweaters = 6

Q: nts in different ways.

A: We can select 6 different restaurant from 8 is =28 ways

Q: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: Paul has 5 books to place on a shelf. How many possible arrangements of all 5 books are there?

A: given data 5 books to place on a shelf. no. of possible arrangements of all 5 books = ?

Q: How many matches will be required to determine the champion in a single elimination tennis…

A: In single elimination tournament, each match eliminates one player. If all up there are x players,…

Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: In how many ways can 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A:

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A: pick the first and second places in the firdt two races.  first race runs 12 horses second race runs…

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: How many ways can a team of 28 hockey players choose a captain and two alternate captains?

A: Given that, There are 28 players in a hockey team.

Q: A class has 10 students. How many choices for a president and a vice president are possible?

A: The number of total student are 10.

Q: A teacher is creating a quiz.  There are 9 questions to choose from.  The teacher plans to select 3…

A:

Q: You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side…

A:

Q: A manager has 4 people that can play any of positions. How many

A: In the given situation, there are 4 people that can play any of positions. That is, there are 4…

Q: There are 12 teams in a league. How many games are played if every team plays each other twice?

A:

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

A:

Q: Find the number of different ways that an instructor can choose 7 students from a class of 23…

A:

Q: Twenty children are to be divided into an X team and a Y team of 10 each. The X team will play in…

A:

Q: From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How…

A: Given that from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be…

Q: For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize…

A: Given,no.of different kinds of candy=8

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: If there were to be 22 boys and 8 girls at a party and the host wanted each to be given exactly the…

A:

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.