100 student were interviewed. 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three subjects. How many students took BIO and PE but not ENG? How many students took none of the three subjects? How many students took PE but not BIO or ENG?

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: 2. You have read 175 novels of the 350 in your home, but your sister has read 190, of which only 55…

A: Let us denote : A= number of novels read by me B= number of novels read by sister Given that…

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: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

Q: 1. Tina's music library has 72 rock songs and 51 pop songs. She is putting together a playlist of 22…

A: As we are entitled to solve one question at a time, I will answer first question, please submit…

Q: In a recent survey of 100 students, 38 said that they took a Math class as a freshman, 49 said that…

A: Follow 2nd step.

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: A merchant surveyed 380 people to determine the way they learned about an upcoming sale. The survey…

A:

Q: it is not taking 87 subjects as the answer

A:

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: There are 27 students in Mrs.​ Pietz's fifth grade class at an international school. All of the…

A: (a) Determine the number of students speak both English and Japanese.   The number of students speak…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: A member of the Student Council decided to conduct a room visit and asked the students for their…

A: Let D=the students joined  the Debat clubC=the students signed up for the cooking clubGiven ,no.of…

Q: 20 speak 11. Of 1100 students at PHS, 400 attend the first school dance of the year, and 550 attend…

A:

Q: 10. A liberal arts college has one thousand students. The numbers studying various languages are:…

A: Given a liberal college has one thousand students.  Number of students who study French(F)=220…

Q: The annual National No Spying Day is celebrated at KAOS headquarters this year. There are 11 Control…

A:

Q: Results from of a survey of 50 students indicated that 30 like red jelly beans,29 like green jelly…

A: Given information in Venn diagram,

Q: Dsery? 2.

A:

Q: A survey was given asking whether people like dogs and/or cats. 123 said they like dogs 185 said…

A: Given that n(D)= number of people who like dogs=123 n(C)=number of people who like cats=185 n(D and…

Q: 2) Sheila scored 75, 80, 100, 60, and 85 on her last five history tests. She has a final exam that…

A: