Image:Inclusion exclusion diagram.JPG - Wikipedia, the free encyclopedia
For 4 events depicted, there should be 16-1=15 states.
0001 to 1111.
(we discount 0000 for the Venn diagram.)
But I counted only 13.
Is the diagram used to depict 4 events and their intersection wrong?
Anybody got a better diagram?
Posted my version above.
The 4 events are depicted by their colours:
Red, Blue, Black and Green.
While Red, Blue and Black are the usual 3 circle Venn,
I added Green...modified to resemble a doughnut with a hole in the middle and an extension outside of the 3 circles.
The hole in the middle represent:
The extension outside of the 3 circle represent:
Please feel free to comment. This model is useful for anyone who wants to understand the inclusion-exclusion theories and their derivatives, e.g. Waring's Theorem, and also to visualise the De Montmort's Problem of Coincidences better.