A group of students is surveyed. 15 of the students are taki…
A group of students is surveyed. 15 of the students are taking physics only. 19 of the students are taking physics. 8 students are taking chemistry. 7 students are taking calculus. 3 students are taking calculus and chemistry. 3 students are taking calculus and physics, but not chemistry. 1 student is taking calculus, chemistry, and physics. a) How many students are taking chemistry only? b) How many students are taking exactly two classes? c) How many students are taking calculus only? d) If 40 students took the survey, how many of the students are taking none of the three classes?