Carlos surveyed 50 students about their favourite subjects in school. He recorded his results. 27 students liked Math, 28 students liked Science, and 10 liked neither. Use a Venn diagram to show your answer and answer the following questions.

a. Define the universal set, and all subsets.

b. How many students like mathematics and science?

c. How many students like only science?

d. How many students like mathematics or science?