So this is a 2 part question, the first part i think I've figured out (and so I've filled the 3 Venn diagrams correctly), but I must be doing something wrong with part b) as my set operations are giving me a wrong answer. Looking for help with part b), pasted below

~ ~ ~

In a class of30

30students:

• 17
• 17study Art,
• 13
• 13study Chemistry,
• 16
• 16study English,
• 8
• 8study both Art and English,
• 8
• 8study both Chemistry and English,
• 4
• 4study all three subjects, and
• 3
• 3study none of these subjects.

a)

How many students study both Art and Chemistry?

3 + 4 = 7

7 study both

b)

Writing A, C and E for the sets of students studying Art, Chemistry and English respectively, evaluate |C^c U (A^c U E)^c | *

• ^c as notation for complement

I calculated 13 which seems wrong