DIRECTIONS for the question:Solve the following question and mark the best possible option.
In a school, 150 students offered Hindi as an optional subject, 85 French and 90 Sanskrit. Out of these, 73 offered Hindi only, 52 French only, 18 Hindi and French only and 10 French and Sanskrit only. Totally, how many students are there?
A)
250
B)
242
C)
233
D)
218
E)
210
C
P(A U B U C) = P(A) + P(B) + P(C) - P(A B) - P(A C) - P(B C) + P(A B C). P(A) = 150
P(B) = 85
P(C) = 90
P(A B) = 18 P(B C) = 10 Using this information;
P(A C) = 49 P(A B C) = 10
Applying formula, we get the total as 233