Thread: Maths Help
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# 2 11-02-2011 , 05:36 AM
ctbram's Avatar
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Well I would like to see the exact question because it sounds like what you posted has been paraphrased or translated poorly. If the question is - Given any four sets (A,B,C,D) within the universal region (U) what is the maximum number of possible regions? Then you would have 14 possible regions (see the image below).

As for the second part of the question, it does not make complete sense to me. A set is normally a well defined set of elements, the number of boolean results of which can be finitely defined. The sets in your question are not defined at all. Therefore the best I could do is define all the boolean operations you could perform on 4 sets. Such as:

1. compliment each (4)
2. AND pairs, then tuples, then 4's (intersection) ... (6), (3), (1)
3. OR pairs, then tuples, then 4's (union) ... (6) (3) (1)

Then you can AND and OR combinations of compliments and so forth. But as I said I am not 100% sure of the question as it seems ambiguous to me.

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"If I have seen further it is by standing on the shoulders of giants." Sir Isaac Newton, 1675

Last edited by ctbram; 11-02-2011 at 02:38 PM.