All members of a club went to Mumbai and stayed in a hotel. On the first day, 80% went for shopping and 50% went for sightseeing, whereas 10% took rest in the hotel. Which of the following conclusion(s) can be drawn from the above data?
Select the correct answer using the code given below:
Members who took rest = 10%
Members who went for either shopping or sightseeing or both = 90%
n(Shopping) = n(A) = 80%
n(Sightseeing) = n(B) = 50%
n(A ∪ B) = 90%
n(A ∩ B) = 80% + 50% - 90% = 40%
So, statement 1 is correct.
Members who went for only shopping = n(A) - n(A ∩ B)
= 80% - 40% = 40%
So, statement 2 is incorrect.
The correct option is A.