In a linguistics program there are 61 students.  Of these students, 30 of the students speak Finnish, 24 speak German, 23 speak Italian. We know that 17 speak Finnish and German, 14 speak Finnish and Italian, and 12 speak German and Italian. If 19 speak none of these three languages, then how many speak all three languages?

Q: A group of four students studying for a bar exam has formed a study group. Each member of the group…

A:

Q: Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow…

A: From the given information, the number of ice creams is 2 and number of sprinkles is 3.

Q: There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are…

A: Total students (history or sociology) = 100 Both(history and sociology)  = 10 History = 45 Sociology…

Q: 6. A survey in the year 2020 asked families whether they owned a hermit crab, a turtle, or a snail.…

A: Let H, T and S be the set of families who owned a hermite crab, turtle and snails respectively. H…

Q: 95 male athletes where getting physicals for the school year. 42 of them play Football, 14 of them…

A: Here the given information is 95 male athletes where getting physicals for the school year. 42 of…

Q: You are heading to the animal shelter to choose a pet. The shelter has the following pets available:…

A: Given Information: Number of Cats = 15 Number of Dogs = 24 Total number of pets available = 39…

Q: At a certain school each student must take at least one course Algebra (A), Biology (B) or Chemistry…

A: Introduction: The set components A, B, and C are gathered together as A union B, and union C. This…

Q: survey of 100 students at New England College showed the following: 47 take English. 49 take…

A: From venn diagram, It can be solved easily. N= 100

Q: Inhabitants on Smullyan's Island are either always telling the truth or always lying. You meet three…

A: Let's analyze the statements made by Tywin and Catelyn.Tywin's statement: "He said only one of us is…

Q: You have a four letter string, where each of the five vowels has to be followed by a consonant,…

A: According to the given information, it is required to find the possible number of strings of 4…

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

A:

Q: A telephone company can issue telephone numbers consisting a 10-digit calling number. The 5-digit…

A: The telephone number consists of area code and calling number       --           The area code must…

Q: A geography test consists of fifteen ​true-false questions followed by six ​multiple-choice…

A: In this question, we have to answer this question A geography test consists of fifteen ​true-false…

Q: How many students are taking at least one of the three classes?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: Suppose that in a particular class of 135 students, 45 of them are majoring in math, 60 of them are…

A: Let, A be the students who are major in math, B be the students who are major in communications.…

Q: A survey of 500 foreign exchange students has determined that: 72 read French 40 read German 41 read…

A:

Q: 100 student were interviewed. 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE…

A:

Q: How many possible license plates can be issued with two letters followed by three numbers?

A: The state issues license plates consisting of letters and numbers. There are 26 letters and the…

Q: You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without replacement).…

A: Answer:----.                 Date:----11/10/2021

Q: 168 business executives were surveyed to determine if they regularly read Fortune, Time, or Money…

A: We are given the following information: 168 business executives were surveyed to determine if they…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Statements and Logic

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