A group of 150 tourists planned to visit East Africa. Among them, 3 fall ill and did not come, of the rest 6 visited all the three countries, 8 visited Uganda and Tanzania, 26 visited Kenya and Tanzania, 17 visited Kenya and Uganda, 27 visited Kenya only, and 45 visited Uganda only. (a) How many visited Tanzania only? (b) How many visitors did each country have?

Q: Both of my friends Abu and Deps will be part of the group? Only one of them will be part of the…

A: Here use combination for given problems

Q: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: A student council consists of 8 students, with 3 women and 5 men. In how many ways can a committee…

A: As per the guidelines I had solved the questions with maximum of three sub parts.kindly repost the…

Q: There are 5 third year and 4 fourth year students qualified to join a contest. In the group…

A: Given that there are 5 third year and 4 fourth year students qualified to join a contest. In the…

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: answer is in next step

Q: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: Before doing the ordering for a company barbecue, the manager took a poll to find out how many…

A: Given people who eat corn = 39 people who eat ribs = 57 people who eat hamburgers = 65 people who…

Q: 10. Of the 200 candidates who were interviewed for a position at a call center, 100 had a…

A: See the attachment

Q: In a survey of 60 people, it was found out that 25 read Manila Bulletin, 26 read Philippine Daily…

A: Given information : Total number of people = 60 Number of people who read Manila Bulletin = 25…

Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: and

A:

Q: In a survey of 285 professional athletes, it was found that 146 of them owned a convertible, 133 of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: club with eighteen members is to choose three​ officers: ​ president, vice-president, and​…

A: Topic:- permutation and combinations

Q: In a survey of 269 professional athletes, it was found that 133 of them owned a convertible, 111 of…

A:

Q: In a survey of 251 professional athletes, it was found that 125 of them owned a convertible, 99 of…

A: Let us denote C=convertible, T=giant screen TV, S=sporting good storeGiven that:n(C)=125, n(T)=99,…

Q: In a survey of 267 professional athletes, it was found that 129 of them owned a convertible, 110 of…

A: 1. Given that, the total number of athletes is nU=267. Let A represents the number of athletes owned…

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: From the 10 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: A committee of size 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A:

Q: 59. Out of 5 mathematicians and 7 statisticians, a committee consisting of 2 mathematicians and 3…

A:

Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: In a survey of 260 students, it is found that 78 like broccoli, 103 like cauliflower, and 56 like…

A: We will solve it by Venn diagram Let A be the set who like broccoli and B be the set who like…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Dear students as per guidelines we answer the first three subparts only.   Solution

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: a. How many different license plates did this system​ allow?   b. More license plate tags were…

A: Given  each license plate contained three letters of the​ alphabet, followed by four digits selected…

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

A:

Q: From the 10 male and 7 female sales representatives for an insurance company, a team of 4 men and 2…

A: Given that from the 10 male and 7 female sales representatives for an insurance company a team of 4…

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

A:

Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: there are 6000 students at mountain high school and 3/4 of these students are seniors,if 2/3 of the…

A:

Q: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

Q: In a survey of 105 people, it was found that 40 have lived only in New York, 35 have lived only in…

A: Given, In a survey of 105 people, it was found that 40 have lived only in New York,  35 have lived…

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

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: How many people used two modes of transportation if 1978 took public transit, 1494 drove, 818…

A: Given Information: People who took public transit = 1978 People who drove = 1494  People who cycled…

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 30 members. In how…

A:

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Computer…

A: Number of students in mathematics MS= 4 Number of students in computer science CS = 3 Number of…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: In a survey of 294 college students, it is found that 62 like brussels sprouts, 93 like broccoli, 57…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: In a survey of 91 ​people, 25 reported that they read the Star newspaper and 34 reported that they…

A: the problem is base on inclusion and exclusion principal of sets let n(A) denote the numbers of…

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: We want to find number of people that not like any of the three sports.

Q: A man has eight shirts and five ties. Assuming that they all match, how many different shirt-and-tie…

A: Given,            A man has eight shirts and five ties.

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

A:

Q: In a survey of 80 university students, 58 had taken mathematics course, 40 had taken biology course,…

A:

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A:

Q: In a survey of 120 people, it was found that: 65 read Newsweek magazine, 20 read both Newsweek and…

A: The given data are: In a survey of 120 people, 65 read Newsweek magazine, 20 read both Newsweek and…

Q: A certain student organization has 17 members - 7 math majors and 10 english majors. A committee of…

A: Total number of students = 17;  7 math majors and 10 English majors.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.