one course only by using Venn diagram.

Q: A new line of pens comes in 9 color options and 9 possible tips (fine, medium, etc.). How many…

A: See the detailed solution below.

Q: At a library 200 people were surveyed about magazines they read. 120 read Time, 75 read US News, 45…

A: Given : In a survey,  the total number of people were read magazines                        = 200…

Q: 3. A child wants to draw a picture using only three different colors from a set containing twelve…

A: No.of different color pencils, n = 12 No.of different colors use to draw a picture, r = 3 The…

Q: In a survey of 1,293 college students, 687 used Spotify to listen to music and 389 used iTunes to…

A: Solution: From the given information, in a 1293 college students 687 used Spotify to listen to…

Q: In how many ways can there be a first place, second place, and third place winner in a race with 20…

A: GivenTotal no.of runners=20No.of places in race=3 i.e., first,second and third place

Q: In a survey, 245 people were asked about what devices they use to listen to music. in total, 79…

A: The data is given as- Total population=245 Persons used streaming service to listen music=79 Persons…

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: 3. Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such lineups…

A:

Q: Solving a differential equation using the Laplace transform, you find Y(s) = L{y} to be Y(s) = 4 S 3…

A:

Q: A student is asked to answer seven of ten questions on a test. How many different ways can a…

A: GivenTotal no.of question(n)=10No.of questions student asked to answer(r)=7

Q: A new smart phone comes in five colors, two screen sizes and with four different data plans. In how…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

Q: In a survey of 84 baseball fans in. NYC, 46 were fans of the Mets, 56 were fans of the Yankees and…

A:

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

A:

Q: With six different flags, how many different signals can be sent by placing three flags, one above…

A: There are six different flags.     Number of flags available for first place is =6 Number of flags…

Q: A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are blue. If…

A: Given, A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are…

Q: there are 100 million eligible voters in the United States the gallup poll interviews 2,000 of them…

A:

Q: Of 13 students in a class,4 will be chosen to go on a felid trip.how May different ways can they be…

A: Combination of number of objects is their arrangement without considering the order while…

Q: How many different eleven-member football teams can be formed from a possible 35 players if…

A: Total no. of possible players = 35 No. of players in a team=11

Q: According to an autograph association, only 8% of autographs in cirrculation from a certain band are…

A: Let x be the number of authentic and non-authentic autographs in circulation.Given that, 8% of…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: In an experiment on social interaction, 11 people will sit in 11 seats in a row. In how many ways…

A: Introduction: The total number of ways in which n items may be placed in n positions, one after the…

Q: How many ways are there to select a set of 4 U.S. s

A: A combination is a mathematical technique that determines the number of possible arrangements in a…

Q: A group of 6 people must be chosen from 6 men and 6 women. If there must be at least one person of…

A: Given: Number of men=6Number of women=6 The possible ways of selecting 6 people with at least one…

Q: Consider a group of N people. If everyone shakes hands with everyone else, how many handshakes take…

A: The number of people in a group is N.

Q: If radio station call letters must begin with either the letter K or W and must include either two…

A: Given information Letter can start with letter K or W and include either two or three additional…

Q: are there for the names to be listed?

A: Given that

Q: In CNU, 55 students enrolled in Science, 45 in Math, 30 in English, 18 in Science and Math,13 in…

A:

Q: 1. 73 dogs are at the ASPCA awaiting adoption. Of them, 22 are Labradors, 42 are black dogs, and 12…

A: Note: Hi! Thanks for posting the question. Since there are more than three sub-part questions, we…

Q: In how many ways can the judges in the Miss USA pageant choose the American representatives to the…

A: The number of ways can the judges in the Miss USA pageant choose the American representatives to the…

Q: A class has 11 students. What is the probality that exactly 4 of the students were born on a weekday…

A: We have to find given probability.

Q: Draw a Diagram At the conclusion of a baseball game whose teams included 10 players, each player on…

A: The number of fives given to the losing team will be =10×10=100 The number of fives given by the…

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

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

Q: 2. In the selection of 16 finalists, 3 finalists will be selected to participate in the next round,…

A: It is given that  Total finalist = 16 Selected finalist for next round = 3

Q: a committe of four people is to be chosen from a nine member group to represent the group on an…

A: a committee of four people is to be chosen from a nine member group to represent the group on an…

Q: Given the list of six numbers: 1, 2, 13, 50, 60, 62. If the number 70 is added to the list as the…

A: Given data is 1,2,13,50,60,62Arrange the data in ascending order1,2,13,50,60,62Mean = sum of the…

Q: In how many ways can 3 books be choosen from a group of nine?

A: we have to choose 3 books from group of 9 books.  no. of ways to choose books = ?

Q: 8) In a track meet, ten runners compete for first, second, and third place. How many different ways…

A: Correct answer is =  3! * 103 = 6 * 10*9*83*2*1 = 720

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”.