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Using Venn diagram, prove the following ...

Using Venn diagram, prove the following
i. A`cup`(B`cap`C)=(A`cup`B)`cap`(A`cup`C) ii. A`cap`(B`cup`C)=(A`cap`B)`cup`(A`cap`C)

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The correct Answer is:
From the figures (b) and (e), we get A`cap`(B`cup`C)=(A`cap`B)`cup`(A`cap`C)
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NEW JOYTHI PUBLICATION-SETS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Using Venn diagram, prove the following i. Acup(BcapC)=(AcupB)cap(Ac...

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  2. If A and B are not disjoint sets then n(AcupB) is equal to

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  3. In a city 20 percent of the population travels by car, 50 percent trav...

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  4. Two finite sets have m and n elements. The total number of subsets of ...

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  5. A class has 175 students. The following data shows the number of stude...

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  6. Given n(U)=20, n(A)=12, n(B)=9, n(AcapB)=4, where U is the universal s...

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  7. Two finite sets have m and n elements. The total number of subsets of ...

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  8. If N(a)={an:ninN}, then N(5)capN(7)= (Here N is the set of natural n...

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  9. Two finite sets have m and n elements respectively. The total number o...

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  10. The number of elements in the set {(a,b):2a^(2)+3b^(2)=35, a,binZ}, wh...

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  11. Let A={1,2,3,4}, B={2,4,6}. Then the number of sets C such that AcapBs...

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  12. Let X and Y be the sets of all positive divisors of 400 and 1000 respe...

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  13. In a certain town 25% families own a cell phone, 15% families own a sc...

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  14. Two finite sets A and B have m and n elements respectively. If the tot...

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  15. The shaded region in the figure represents

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  16. If n(A)=8 and n(AcapB)=2, then n((AcapB)'capA) is equal to

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  17. If the set A contains 5 elements, then the number of elements in the p...

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  18. If n(A)=1000, n(B)=500 and if n(AcapB)ge1 and n(AcupB)=p, then

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  19. If n(A)=43, n(B)=51 and n(AcupB)=75, then n((A-B)cup(B-A))=

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  20. If A and B are non-empty sets such that AsupB, then

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  21. Let X={1,2,3,.......,10} and A={1,2,3,4,5}. Then the number of subsets...

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