# Venn Diagram help

• April 5th 2013, 08:58 AM
NotaClue
Venn Diagram help
I was looking to know if anyone could help me with the logical expression for this diagram.

Attachment 27817

I know the middle bit and left bit together is A n [(B n C) u ( ~B n ~C)] so what is the right bit added into this?

u (~A n ~C) ??
• April 5th 2013, 09:22 AM
Plato
Re: Venn Diagram help
Quote:

Originally Posted by NotaClue
I was looking to know if anyone could help me with the logical expression for this diagram.
Attachment 27817
I know the middle bit and left bit together is A n [(B n C) u ( ~B n ~C)] so what is the right bit added into this?
u (~A n ~C) ??

Use the notation $A^c$ for the complement of set $A$

Then that diagram has three areas:

$\left[ {A \cap {B^c} \cap {C^c}} \right] \cup \left[ {B \cap {A^c} \cap {C^c}} \right] \cup \left[ {A \cap B \cap C} \right]$