A group of 30 students plan to take classes. If 13 of them will take English, 17 will take Biology, 18 will take History, 7 will take both English and Biology, 5 will take both English and History, 3 will take English, Biology, and History. How many students will take just Biology and History?

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: How many students went to have gone to spain and france but not germany?

A: The Venn diagram is ,How many students went to have gone to Spain and France but not Germany?

Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

Q: Of 20 possible books, you plan to take 9 with you on vacation. How many different collections of 9…

A:

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: A test consists of 12 questions that are divided into three questions. There are 5 questions in the…

A: Given: Questions in first section =3 Questions in second section =2 Question in third section =1

Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

Q: A review sheet for a history test has 10 essay questions. Suppose that the professor picks 3…

A: Given

Q: Of the 30 students in my class, 11 practice taekwondo, 11 play piano, and 20 take lessons in math. 4…

A:

Q: The newest cars have 12 different accessories and the buyer pays for each one separately.  If a…

A: Given, The newest cars have 12 different accessories A buyer wants to buy four accessories

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

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

Q: A teacher is creating a quiz.  There are 9 questions to choose from.  The teacher plans to select 3…

A:

Q: Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

A:

Q: how many license plates are possible consisting of 4 letters followed by 4 digits, if the first…

A: The objective of this question is to find out the total number of possible license plates that can…

Q: A Class with 50 students 30 students come from single parent home. 37 students live with their…

A: total number of students in a class = 50  Since 5 live with adopted parents, therefore, number of…

Q: The Maple Leafs are allowed to dress 20 players for each game.  If they dress 12 forwards, 6…

A: Given Information: Total players = 20  Number of forwards = 12  Number of defensemen = 6  Number of…

Q: In a group of 50 students, 25 are taking Math, 20 are taking Science, and 10 are taking both Math…

A: Number of students in total = 50Number of students taking Math = 25Number of students taking Science…

Q: If there are 9 apples and my sister ate 3, how many apples are left?

A:

Q: There are two roads between town A and B.There are three roads between town B and C. How many…

A: Number of ways we can travel from A to B is n1 = 2 ways     Number of ways we can travel from B to C…

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!