Answer :

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(EHS)’=24


Number of students studying English only = 18


Now,


n(EHS)’=24


n(P) – n(EHS) = 24


100 – 24 = n(EHS)


n(EHS) = 76


n(EHS) = 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.


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