Hello, last question for tonight but I was doing a venn diagram question and I made it all the way to the almost end, there's just one last part that is getting me.

The question states that given three sets, P,Q, and R such that R is a subset of Q and n(U) =(P∪Q∪R)=100, n(Q∪R)=75, n(Q ∩ R) = 41, n(p ∩ R)=15,

n(P)=44 and n(Q')= 25.

They asked to draw a venn diagram representing this information which I will post a picture of.

AS you can see I calculated all the values carefully, now the question finally asks, ''Hence determine n[(P∩Q)∩R')''.

This is where I stick up, I'm thinking things like, ok to find the intersection of P and Q because that is what they're asking for, I should first find the union, but the problem with that is using the formula to find the union of two sets, I need the intersection!

So I just can't figure it out for the life of me, it's the area on the photo with the ''?''

ji.jpg
## Bookmarks