In a class of 25 students, 17 lived with both parents, 21 lived with their mothers, and 20 lived with their fathers. How many lived with neither parent?

Q: A recent study of 230 people in a small downtown neighborhood found that 66 had medical insurance…

A:

Q: If women represent 53% of a town, and there are 9,805 women in the town, how many people are in the…

A: Let there are total X people in the town.

Q: A dress-shop owner has 8 new dresses that she wants to display in the window. If the display window…

A: A dress-shop owner has 8 new dresses.  She wants to display in a window which has 5 mannequins.  So…

Q: A club has 40 executives, 33 like to drink beer and 20 like to drink whiskey. How many like both?

A: Explanation of the answer is as follows

Q: Motors Inc. manufactured 325 cars with automatic transmissions, 216 with power steering, and 89with…

A: We have given,

Q: john has 10 apples and kate took 5 away how many apples are left?

A: When kate take you are subtracting.   John  originally had 10

Q: A student is to answer 12 out of 15 questions on an exam. How many choices does he have?

A: The total number of questions in the exam is 15. The student has to answer 12 out of 15 questions.…

Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

A:

Q: Out of a group of eight students serving on the Student Government Association, how many different…

A:

Q: The records of 1492 high school students were examined, and the following information was obtained:…

A: The records of 1492 high school graduates were examined, which means that the universal set, Now,…

Q: In a race of 24 people, the top 8 are awarded different amounts of prize money, with first receiving…

A: Permutation: The number of different arrangements of ‘r’ elements (order matters) from a set of ‘n’…

Q: In a class of 40 students, 26 like Math, 12 like physics, and 6 like both math and physics.…

A: Solution: From the given information, number of students in a class is 40. Number of students like…

Q: A softball league has eleven teams. If every team must play every other team once in the first round…

A:

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: At Rosemont High School, 14 players are on the varsity bas- ketball team, 35 players are on the…

A: Given: Let A denotes the varsity basketball team and B denotes the varsity football team then,…

Q: If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: In a group of dogs and their owners, there are exactly 20 heads and 64 legs.  How many dogs are in…

A: Let, x be No of men. y be no of dogs   Men consists of 2 legs and dog has 4 legs.   x+y=20 2x+4y=64

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

A:

Q: From a group of 20 children, how many must you choose, if you want to make sure two of them have…

A: There are 12 month in a year, thus let m=12. Let n denote the number of chosen children who have…

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: At a charity benefit with 33 people in attendance, three $50 gift certificates are given away as…

A:

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They…

A: Consider the given statement. We have to arranged from oldest to youngest. We have find the number…

Q: Of the eighth graders at the Paxton school, 12 played basketball, 9 played volleyball, 10 played…

A: Please make a Venn diagram to understand what's going on here:

Q: A softball league has twelve teams. If every team must play every other team once in the first round…

A: Topic: Permutations and combination

Q: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: Out of 800 families with 5 children each, how many would you expect to have, (i). 3 boys (ii) Either…

A:

Q: From a survey of 100 college students, a marketing research company found that 50 students owned…

A: Given form a survey of 100 college students a marketing researchcompany found that 50 student…

Q: Out of 2000 families with 4 children each, how many would you expect to have (a) at least 1 boy, (b)…

A:

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

A:

Q: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: In a 10 team tournament, trophies are to be given to the top 3 places. In how many ways can the…

A: Given: There are 10 teams in the tournament and trophies are to be given to the top 3 places. Find…

Q: From a club of 24 members, a President, Vice President, Secretary, Treasurer and…

A: Given Data: The number of members in the club is: n=24 Five members such as a president, vice…

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: had a number of colored marbles in a bag. - of the marbles were red, of the remaining marbles were…

A: Simple calculation

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: There is a town party in Pleasantville where 6 families of 3 people each get together. If one…

A:

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: In a construction company, there are three

A: Here the table below shows the required calculation for obtaining the coefficient of variation for…

Q: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Out of a population of 52 people, how many possible samples of size 2 are there?

A: Given information- Population size, n = 52 Sample size = 2 We have to find the number of possible…

Q: A company conducted a marketing survey of college students and found that 191 own a bicycle and 74…

A:

Q: In a group of 65 ice cream lovers, 45 like Cherry Garcia, 34 like Chocolate Therapy and 18 like…

A:

Q: are buying 10 t-shirts and have as many of each type

A: Given, You are buying 10 t-shirts and there are 8 different colors to choose from.

Q: An architect designs a theater with 18 seats in the first row, 22 in the second, 26 in the third,…

A: