Question

100 people were asked if they liked Math, Science, or Social Studies. Everyone answered thatthey liked at least one.56 like Math43 like Science35 like Social Studies18 like Math and Science10 like Science and Social Studies12 like Math and Social Studies6 like all three subjects

Answer 1

SOLUTION

Venn Diagram for the problem is shown below

Now from the Venn Diagram the number at the center of the intersection of all three circles is 6. This represents the number of students that liked all three subjects.

Number that liked Math and Science is 18, So number that liked "Math and Science only", will be 18 (all the people that like Math and Science) minus 6 (numbers that liked all three subjects). This becomes 12.

This was how 4 (numbers that liked science and social studies