How many subsets does the set {4, 5, 6, 7, 8} have? Select one: 12 none of them 56 32 36

Q: How many total ways can we form a 2-letter password or a 4-letter password using the letters from…

A: The set is  a,b,c,d. That is, there are 4 letters. Since repetition of letters is allowed, each…

Q: How many arrangements begin with the letter M from math power

A: The total number of letters in MATHPOWER is 9 letters.  It is given that the first letter has to be…

Q: a class has 8 males and 9 females. three are chosen without replacement. all are females  at least…

A: According to the provided information, a class has 8 males and 9 females. three are chosen without…

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Combination: According to the combination rule, if r distinct items are to be chosen from n items…

Q: In a drawer, there are eight blue socks, six green socks, and twelve black socks. What is the…

A: given data  8 blue 6 green 12 black _____________ 26 total socks.    What is the smallest number of…

Q: 28 A box contains 5 blue marbles, 3 green marbles, and 7 red marbles. How many marbles must be…

A:

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed d. how…

A: The given digits are 0, 1, 6, 7, 8, and 9.

Q: How many integers greater than 120 but less than or equal to 540 are divisible by 6? Group of answer…

A:

Q: List all the ways to select two different members from S without repetition. The order in which…

A: Given, S={Q,R,S,T,U}

Q: There are N employees at a new company, and they are forming a union. How many ways are there to…

A:

Q: low many ways are there to select 4 players from 10 members to represent the team in a tournament?…

A:

Q: A group of campers is going to occupy 6 campsites at a campground. There are 17 campsites from which…

A: Number of campsites choosen by the campers is:   x=6Total number of campsites is:  n=17

Q: ten sports teams enter a tournament where they each play 3 games in the first round to earn their…

A: Given that each team plays 3 games  There are 10 teams So there should be 3(10)=30 games

Q: An engineering manager is selecting a team of 5 engineers for an upcoming project. There are 10…

A:

Q: Assume a club N with six members: N = {Andy, Bill, Cathy, David, Evelyn, Erik} Count the different…

A: Finding the number of elements in a set or the total number of possible outcomes in an event is…

Q: Consider the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: Count the number of ways 2n people can be grouped into pairs. For example, when n=2 and there are…

A: If n=2 2n people can be arranged in  A B C D The possible number of pairs that can be formed…

Q: At a college, 52 students were members of the choir or the marching band, 25 were members of the…

A: At a college, 52 students were members of the choir or the marching band, 25 were members of the…

Q: A group of 10 people in s choosing a Chairperson and Vice President. They put all 10 people's names…

A:

Q: How many different ways committee of three can be selected from a group of 8 people?

A:

Q: a. The large books must always be together. b. The first book and last book must always be medium…

A:

Q: How many different ways are there to select a group of 4 out of 6 people for a seating arrangement…

A: GivenNo.of people(n)=6No.of people are selected for seating arrangement(k)=4

Q: A box is filled with 9 different colored marbles. There is room for 3 of those marbles to be…

A: The objective of this question is to find out the number of ways in which three different marbles…

Q: John is one of twelve members of the Math Honor Society at his school.  A delegation of four members…

A: John is one of twelve members of the Math Honor Society at his school.  A delegation of four members…

Q: The greatest common divisor of 414 and 662 is? 4 0 6 O 2 0 5 0

A: Third option is correct. Answer is 2.

Q: Powerball numbers are drawn from two sets of numbers. Five numbers are drawn from one set of 69…

A:

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: Use the Multiplication Principle to find the total number of outcomes. 1. You are choosing a car.…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: It is given that, there are 4 paintings and 5 vases.

Q: The following people are on 4 different committees. What is the fewest number of meetings that need…

A: The following people are on 4 different committees. To find the fewest number of meetings that need…

Q: How many different groups can be formed for Prom King and runner up when there are 7 candidates?…

A: It is given that There is a total of 7 candidates and we have to form a different group for Prom…

Q: A committee of 4 people is to be chosen from a group of 8 men and 7 women. How many different…

A:

Q: Suppose a committee of 3 men and 2 women are to be selected from a group of 10 men and 12 women. How…

A:

Q: A club N with four members is shown below. N = {Aaron, Brad, Cindy, Dennis), abbreviated as N = {A,…

A: .

Q: From 10 names on a ballot, a committee of 3 will be elected to attend a political national…

A: Combination:   It  is a selection of objects where the order of selection is not important.   If n…

Q: Three students of each department will be selected to be members of student representation. After…

A: Select 3 students out of 10 available students.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.