When three professors are seated in a restaurant, the hostess asks them: “Does everyone want coffee?” The first professor says: “I do not know.” The second professor then says: “I do not know.” Finally, the third professor says: “No, not everyone wants coffee.” The hostess comes back and gives coffee to the professors who want it. How did she figure out who wanted coffee?

Q: forty-one people were riding bus number 527. At 8:45, it arrived at the 109th st. stop where 19…

A:

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters U,…

A:

Q: A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an…

A: In the given question we have to calculate the ways by which the hats can be given to each friend.

Q: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

A: A student needs 8 more classes to complete her degree. If she has met 5 pre-requisites for all the…

Q: student needs 6 more classes to graduate. If she has met the prerequisites for all the classes, how…

A: Given n=6 r=3

Q: Forty women were asked regarding 2 known brands of bag, it was found out that:   15 women use…

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Q: I wrote the same answer and still got it wrong, why did I get it wrong?

A:

Q: Laura’s soccer team played a good season, finishing with 12 wins, four losses, and two ties. In how…

A: We have given that  Laura’s soccer team played a good season, finishing with 12 wins, four losses,…

Q: Bonnie Woodruff is on a 2.1% straight commission with a $700 drawing account. If she is paid the…

A: The total sales volume of Bonnie =$142,100 The commission rate for Bonnie=2.1% To determine the…

Q: girl has 9 skirts, 10 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits…

A: Given that the girl has 9 skirts, 10 blouses and 4 pairs of shoes.

Q: I bought a bunch of gumdrops, jellybeans, and mints. Each were in yellow, blue, and white. I bought…

A: There were total of   after sometime the number of candies were as follows   Gumdrops  Jelly…

Q: How many ways can 5 friends sit in a row at the movie theatre if Darren and Dave are in an argument…

A: If there is no restrictions then 5 friends can arrange in 5!=120 ways among themselves. If Dave and…

Q: 8) A School has 500 students, 345 students like Blue and 275 like Red.   There are 42 students who…

A:

Q: A teacher is decorating their classroom by placing posters in a row on one wall. The teacher has 7…

A: Explanation: a) Given that,  Choose 5 posters out of 7. P57=7!(7-5)!=7×6×5×4×3=2520

Q: In the UTAS-Ibri with 1000 students, 392 students are taking a course in Mathematics, 498 are taking…

A: Given - In the UTAS-lbri with 1000 students , 392 students are taking a course in Mathematics, 498…

Q: At Mr. Furry's Dance Studio, every man must dance the last dance. If there are six men and nine…

A: Given that there are six men and nine women and every man must dance the last dance. Here total…

Q: A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and five…

A:

Q: If there are 13 possible project topics and 6 students must choose from the available topics, how…

A:

Q: What is the possibility of one person getting what he want out of 3.905 billion others who wants the…

A: Introduction: The given person, and 3.905 billion other people want the same thing.

Q: he manager of a theatre want s to know whether the majority of his patrons are adults or children.…

A:

Q: A sixth grade class is having a pizza party. The teacher ordered 5 cheese pizzas, 5 pepperoni and 5…

A: Fractions are used to symbolize a part of a whole.

Q: A boy went shopping with his father. He found a hat for $20 and he said to his father, "If you will…

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Q: An art collector, who owns 10 paintings by famousartists, is preparing her will. In how many…

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Q: On Tuesday, Shanice brought five hats. In Wednesday, half of all the hats that she had were…

A:

Q: A job interviewer has set 10 questions with four answer options and one correct answer. In how many…

A: The number of ways for two events to occur in a sequence is p×q. Here, p is the number of ways the…

Q: On the first day of the Minnesota state fair 1 person enters through the gate in the first minute,2…

A: To find: The number of people enters through the gate in seventh minute. Given: The number of people…

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Given, A woman has 11 close friends. To find,  How many ways can she invite 5 of them to dinner if…

Q: How many ways are there to select the 5-person committee such that exactly 2 local business owners…

A: We have given that  Total number of volunteers = 20 Number of homeowners = 11 Number of local…

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: How many ways are there to select a first-prize winner, a second-prize winner, and a third-prize…

A: We have to select a first-prize winner, a second -prize winner and a third-prize winner form 50…

Q: To fill a number of vacancies, the personnel manager of a company has to choose three secretaries…

A: The number of ways a company has to choose three secretaries from among ten applicants can be done…

Q: A teacher decided to buy breakfast for her students while welcoming them during the first day of…

A: Inclusion exclusion principle Let A, B be two events then the number of ways to get either A or B'…

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: (a) If first prize is $100, second prize is $80, and third prize is $30, in how many different ways…

A: Given: People buy raffle tickets = 200

Q: There are 50 guests in a party. If each guest shakes hands with all other guests, how many…

A:

Q: If you are playing dodge ball and there are 24 players, 6 that are skilled, how would you balance…

A:

Q: A stack of medicine boxes displayed in a drug store has 10 boxes in the bottom row, 8 boxes in the…

A: For 1 stack : Number of Boxes in the Bottom Row ( let's say Row 1) =10 Number of Boxes in the second…

Q: A mother of 8 wanted to attend a party but only 5 children can be fit in her car. In how many ways…

A:

Q: A history teacher gives a 20 question true-false exam. And how many ways can the test be answered if…

A: Fundamental principal of counting : if a  thing can be done in m ways and another thing in n ways ,…

Q: What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to…

A: If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference…

Q: How many ways are there for three men and six women to stand in a line (a) so that all women stand…

A: In first case club all women together. Then the problem becomes number of ways in which 3 men and 1…

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: Mr Regpala needs the help of 6 students from the class to help him move some supplies. If the class…

A: Given that  Mr Regpala needs the help of 6 students from the class to help him move some supplies…

Q: Of the first 5 vehicles in the teacher’s parking lot last Tuesday, 2 of them were minivans. Based on…

A: 48

Q: of 90 people, 49 like corn, 19 like corn and carrots, and 17 like neither corn nor carrots. How many…

A: Given data, Total no of people =90 Out of which 49 like corn 19 like corn and carrots 17 like…

Q: A group of 8 people, including Betty and Bob, are going to take a group photo. In how many ways can…

A: Number of people in group is 8 .

Q: he manager of a theater wants to know whether the majority of its patrons are adults or children.…

A:

Q: You and 3 friends are moving into a 4-bedroom house and need to decide who gets which room. How many…

A: There is total 4 persons.

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…

Q: Among the eight nominees for two vacancies on a school board are four men and four women. How many…

A: Solution: It is given that there are 8 nominees for two vacancies on a school board. There are 4…

Statements and Logic

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