Answer to Question #100349 in Discrete Mathematics for Loll

Question

Please help me with this question.
A number of students prepared for an examination in physics, chemistry and mathematics. Out of this number, 15 took physics, 20 took chemistry and 23 took mathematics. 6 took both physics and mathematics and all those who took physics also took chemistry. One student fell ill and failed to write any of the papers.
A. Draw a venn diagram for the above information
B. Use the venn diagram to find
I. How many students took one of the papers
II. How many students? prepared for the exams?

Answer 1

Number of students took Physics = n(P) =15

Number of students took Chemistry = n(C) = 20

Number of students took Mathematics = n(M) =23

A)

Venn Diagram

B)

I).

Number of students took one of the papers =9 + 14 + 6 + 17 = 46

II)

Total number of students = 46 + One student failed to write due to an illness

= 46 +1 = 47