In an examination, 25 candidates passed physics and 27 candidates passed further maths, 10 candidates passed both subjects and 5 candidates failed both subjects. Find the number of candidates that

Question

i. Passed only physics
ii. Passed furthermaths only
iii. Sat for the exam

Answer 1

Venn Diagram

Answer 2

i) 25-10=15
ii) 27-10=17
25+27-10 = 42 passed something, so
iii) 42+5 = 47 sat the exam