How to answer the set theory question by venn diagram?

Question

*Note: ^ =intersect*

Consider 3 subsets P,Q and R of a universal set U.
Given
n(U)=150
n(P)=72
n(Q)=85
n(R)=82
n(P^Q)=38
n(P^R)=40
n(Q^R)=45
n(P' ^ Q' ^ R')=13

Find
(i) n(P^Q^R)
(ii) n((P^Q) U(Q^R))
(iii) n(P ^ Q' ^ R)
(iv) n((P^Q) U (P^R) U (Q^R))

Answer 1

Draw a box representing U

Now draw 3 circles in that box such that they intersect each other and their is a space common to all 3 of them.

The 3 circles are P,Q and R

Region common to P and Q only = P^Q

Region common to all 3 = P^Q^R

You get the idea.

Answer 2

I can help you but i can not draw the diagrams in my answer....
How do you enter anything other than text in this answer box ???
I can help u then ....sorry