In a survey of 10

Let us denote,

Total number of students by n(P)

Students studying English n(E)

Students Studying Hindi n(H)

Students studying Sanskrit n(S)

According to the question,

n(P) =100, n(E–H) = 23, n(E ∩ S) =8, n(E) = 26, n(S) = 48, n(H ∩ S) =8, n(E∪H∪S)’=24

Number of students studying English only = 18

Now,

n(E∪H∪S)’=24

n(P) – n(E∪H∪S) = 24

100 – 24 = n(E∪H∪S)

n(E∪H∪S) = 76

n(E∪H∪S) = n(E)+ n(H)+ n(S)– n(E ∩ S)– n(E ∩ H)– n(H ∩ S)+ (E∩ H ∩ S)

76 = 26+n(H)+48–3–8–8+3

n(H) = 76–58

n(H) = 18

18 Students are studying Hindi.