Venn diagrams 3 circles shading

AyaanAlam3 2,469 views 15 slides Jul 15, 2021
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About This Presentation

Shading of Venn Diagrams

Size: 605.64 KB
Language: en
Added: Jul 15, 2021
Slides: 15 pages

Slide Content

        V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10        

        V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10            

                V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10        

                V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10        

        A ∩ B     B∩   V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10      

        (A ∩ B) ՛     (B∩   V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10   ՛    

        A ∪ B     B   V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10      

        (A ∪ B) ՛     (B   V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10      

        A ՛ ∪ B ՛     B   V   V A B C U 1 2 3 7 8 4 5 6,9,10       A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10

        A ՛ ∩ B ՛     B   V   V A B C U 1 2 3 7 8 4 5 6,9,10       A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10

              V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10      

            V   V A B C U 1 2 3 7 8 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10         A B C U 1 8 2 3 7 4 5 6,9,10    

        V   V A B C U 1 2 3 7 8 4 5 6,9,10       A B C U 1 8 2 3 7 4 5 6,9,10 A∩( B ∪C ) ՛   ∪ ∪ C   A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10 B∩( A ∪C ) ՛   C∩( A ∪B ) ՛   ՛    

        V   V A B C U 1 2 3 7 8 4 5 6,9,10     A B C U 1 8 2 3 7 4 5 6,9,10 A B C U 1 8 2 3 7 4 5 6,9,10           A∩( B ∪C ) ՛    

More than 250 combinations of shadings are possible for three circle problems as given by the sum of combinations:   n r nCr 8 1 8 8 2 28 8 3 56 8 4 70 8 5 56 8 6 28 8 7 8 8 8 1     255
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