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

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

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

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Q: A class with 30 students has ten men and nine seniors, and five of the men are seniors. How many…

A: The total number of students is n = 30.

Q: How many combination of 4 objects can be made from 6 objects, four of which are unique and 2 are…

A: It is given that  Total objects = 6 Unique objects = 4 Identical objects = 2

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

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Q: Nine students are to be seated in a row of chairs. How many arrangements are possible if 3 students…

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Q: Five people applied for jobs at a store. Only two of these people will be hired. The number of…

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Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: A basketball team contains 21 players. If 5 people can be on the court at one time, how many…

A: Given that Number of players (n)=21  Number of people on the court at one time  r=5  We have to find…

Q: A senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

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Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: A committee of six people is chosen from eight women and seven men.  How many          different…

A: Solution: From the given information, there are 8 women and 7 men. Here, 6 people are chosen at…

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: There are 7 women and 8 men in a department.How many ways can this committee be selected if there…

A: To solve this problem, we need to find the number of ways to select a committee of 5 people from the…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

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Q: sume that each car con s more than just seven any options do you have

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Q: Ten children are to be divided into an A team and a B team of 5 each. A team will play in one league…

A: Given Information:   The total number of children, n=10 The number of children divided into the two…

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: 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: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…

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

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

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

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Q: In how many ways can one black America and one Latino be selected from 15 black Americans and 6…

A: In order to get the result we have to calculate total no.of permutation.

Q: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: in a baseball league consisting of 10 teams plays each of the other teams exactly three times . How…

A: Combination formula : nCr = n! /(n-r)! r!

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

Q: There are six men and seven women in a class. If four men and four women are chosen and paired off;…

A: The selection of items from a larger set without regard to the order of selection is termed…

Q: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6

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.