# Math Help - set theory help please

1. ## set theory help please

I posted this elsewhere and just realized it was in the wrong place so sorry about that. Heres my problem:

I know total number of elements in set A, the total number of elements in set B, and the total number of elements in set C. I also know the number of elements in A intersects B, A intersects C, B intersects C, and I know the number of elements that are not in A, B, or C. How do I find:

1. The number of elements in A intersects B intersects C, and;
2. The number of elements exclusive to set A, set B, and set C?

I posted this before, since then I figured out A intersects b intersects c(I used Aunion B union c = A +b + C - A intersect B -A intersect C - B intersect C + A intersect B intersect C and just plugged in all the numbers).

But I need to complete a venn diagram and I'm not sure how to find the elements exclusive to each set. I tried to do B - B intersect A - B intersect C - B intersect A intersect C for each section but when I added up my totals it did not add to the desired amount.

Assignment is due today so any help is appreciated.

2. This is the set of elements exclusive to A: $A \cap B^c \cap C^c = A\backslash \left( {B \cup C} \right)$.
$\left| {A \cap B^c \cap C^c } \right| = \left| A \right| - \left| {A \cap B} \right| - \left| {A \cap C} \right| + \left| {A \cap B \cap C} \right|$