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: in order to conduct an experiment, 5 subjects are randomly selected from a group of 34 subjects. How…

A: given data select 5 subjects from group of 34 subjects   No. of different groups of 5 subjects…

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 order to conduct an experiment, 5 subjects are randomly selected from a group of 43 subjects. How…

A: GivenNo.of subjects(n) =43No.of subjectes to be selected(r)=5

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

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: The supply department has 9 different electric motors and 4 different starting switches. In how many…

A: Given,no.of electric motors=9no.of starting switches=4

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: ur car leasing agency has 12 red and 15 blue cars in stock. In how many ways can an 11-car group be…

A: given data, 12-red 15-blue27-total carsan 11-car group be selected consisting of seven red and four…

Q: It is known that 9 out of 10 people are right handed. Would 35 right handed people out of group of…

A: Given information- We have given the problem of the binomial distribution. We have given that 9 out…

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: Assume that 200 students are surveyed with the following results: 101 live in the west. 103 live in…

A: Introduction: Define the following events: W: Lives in the west; L: Lives in a large city; M:…

Q: 2. In a group of 700 people, must there be 2 who have the same first and last initials? Why?

A:

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: Out of 420 people in a club, 40% of them are over 30 years old.Of the people under 30 years of age ,…

A: Please refer the attached image for complete solution.

Q: 2) A baseball pitcher threw 3848 pitches during part of a recent season. Of these, 1372 were thrown…

A: Since you have asked multiple question, according to our guidelines we can solve the first question…

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 survey of recent college graduates yielded the following information: 59 graduates earned a…

A: The number of graduates earned a degree in mathematics is n(M) = 59.

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: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: Prizes are to be given to different people in a group of 18. In how many ways can a first prize, a…

A: Use the given information.

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: From a survey participated by 42 students, the following were found: 9 studied on Friday; 18 studied…

A:

Q: A survey of 500 television watchers produced the following information: 285 watch football games,…

A: Note: In the given question one data value is incorrect. It should be 45 instead of 4 television…

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: In order to conduct an experiment,  5 subjects are randomly selected from a group of 43 subjects.…

A: It is given that there are 5 subjects (s), and all the subjects are randomly selected from a group…

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: A committee of 6 students has to be formed from 10 boys and 8 girls. In how

A: As per Bartleby's guidelines, three parts of the given question can be solved at a given time. Given…

Q: In how many ways could 16 people be divided into five groups containing respectively 4,2,3,6 and 1…

A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1…

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”.