2. In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology. All the students do at least one of the three subjects. 3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only.

a. Find the number of numbers of students that do
i. two subjects only
ii. exactly one subject
iii. at least two of the subjects
b. Represent the information on a complete Venn diagram.

1 answer

Do the Venn diagram first
arts only = 24 - 3 - 3 - 4 = 14
chem only 22 - 3 - 3 - 5 = 11
bio only 20 -4 -3 -5 = 8
etc