For this question we need to make a Venn Diagram as shown below.
Start from the inner most circle.
5 patrons like all 3 drinks.
8 patrons like Latte and Espresso. From these 8, 5 like all 3 drinks, so the patrons which only like Latte and Espresso will be 3.
Fill all the regions this way and you will get a diagram similar to the one given below.
Count all the numbers inside the circles. These add up to 47. This means 47 patrons like the drinks.
Total number of patrons was 50. So there are 7 such patrons which do not like any of these drinks.
So, the correct answer is option B
