It may sound ridiculous but I can't find this anywhere on the web.

Thanks in advance

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- Aug 20th 2011, 12:02 PMAkilMAINOT version of the Inclusion-Exclusion principle
It may sound ridiculous but I can't find this anywhere on the web.

Thanks in advance - Aug 20th 2011, 12:05 PMPlatoRe: NOT version of the Inclusion-Exclusion principle
- Aug 20th 2011, 12:48 PMAkilMAIRe: NOT version of the Inclusion-Exclusion principle
what is the NOT version of the Inclusion-Exclusion principle?

- Aug 20th 2011, 12:58 PMPlatoRe: NOT version of the Inclusion-Exclusion principle
- Aug 20th 2011, 01:06 PMAkilMAIRe: NOT version of the Inclusion-Exclusion principle
I dont know how to answer. I have two exercisses from a book both say to define the NOT version of the Inclusion-Exclusion principle for three subsest A1,A2,A3 of a set A.The second exercise wants a formula for for the number of elements in A that don't belong in A1,A2,A3,A4.And I can't find it

- Aug 20th 2011, 01:22 PMPlatoRe: NOT version of the Inclusion-Exclusion principle
Say that $\displaystyle \mathcal{U}$ is a finite set and $\displaystyle A_k\subseteq\mathcal{U}$ for $\displaystyle k=1,2,3,4$.

Then $\displaystyle \|\mathcal{U}\|-\|\overline{A_1}\cap\overline{A_2}\cap\overline{A_ 3}\cap\overline{A_4}\|$ is the number of elements NOT in $\displaystyle A_1\cup A_2\cup A_3\cup A_4$

That is a**guess**as to what it may mean.