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.

Question

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 explanation please

Bot · Answer

i. The number of students that do two subjects only is 8 (4 do Arts and Biology only, 3 do Arts and Chemistry only, and 5 do Chemistry and Biology only).
ii. The number of students that do exactly one subject is 22 (24 do Arts, 22 do Chemistry, and 20 do Biology).
iii. The number of students that do at least two of the subjects is 28 (3 do all three subjects, 4 do Arts and Biology only, 3 do Arts and Chemistry only, and 5 do Chemistry and Biology only).