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
With full detailed solution please
i. Number of students that do two subjects only = 4 + 3 + 5 = 12
ii. Number of students that do exactly one subject = 24 + 22 + 20 - 3 - 4 - 3 - 5 = 38
iii. Number of students that do at least two of the subjects = 48 - 3 = 45