In a class of a certain school, 50 students, offered mathematics, 42 offered biology and 24 offered both the subjects. Find the number of students offering (i) mathematics only,
In a class of a certain school, 50 students, offered mathematics, 42 offered biology and 24 offered both the subjects. Find the number of students offering (i) mathematics only,

Given:
Number of students offered Mathematics = 50
Number of students offered Biology = 42
Number of students offered both Mathematics and Biology = 24
To Find:
(i) Number of students offered Mathematics only
Let us consider,
Number of students offered Mathematics = n(M) = 50
Number of students offered Biology = n(B) = 42
Number of students offered Mathematics & Biology both = n(M ∩ B) = 24
Number of students offered Mathematics only = n(M – B)
Venn diagram: