Draw a Venn diagram and use the given information to fill in the number of elements in each region.
n(A)=17, n(A ∩ B ∩ C)=6, n(A ∩ C)=15, n(A ∩ B′)=10, n(B ∩ C)=10, n(A′ ∩ B′ ∩ C′)=21, n(B ∩ C′)=4,
n(B ∪ C)=36
Firstly there are 3 overlapping circles, A,B and C
The cap sign means intersection, which is where things overlap
The cup sign U means union, which includes everything that is mentioned
So where they all overlap is 6, put that in first
Now where A and C overlap is 15 but you already have 6 in that area so than other bit must be 15-6=9
Do the same thing for B intesect C
A' means all the elements that are not in A
I have not drawn the venn diagram so at this point I'd like you to draw it and upload what you have done. Do you know how do do that?