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Two finite sets A and 8 have m and n ele...

Two finite sets A and 8 have m and n element respectively. If the total number of subsets of A is 112more than the total number of subsets of B, then the value of m is

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Let us suppose two finite sets are A and B
Let `A` has m elements
Let `B` has n elements
Then total number of subjects of `A` is `2^m` and total number of subjects of `B` is `2^n`.
...
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RD SHARMA-SETS-Solved Examples And Exercises
  1. Let A={3,6, 12 , 15 , 18 , 21},\ B={4,8, 12 , 16 , 20},\ C={2,4,6,8, 1...

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

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  3. Two finite sets A and 8 have m and n element respectively. If the tota...

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  4. For any two sets A and B, Ann(AuuB ') is equal to A b. B c. phi d. Ann...

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  5. The set (A uu B')uu(B nn C) is equal to

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  6. If a in N such that a N={a x : x in N} . Describe the set 3Nnn7Ndot

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  7. Find the smallest set A such that Auu{1,2}={1,2,3,5,9}dot

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  8. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  9. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  10. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  11. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  12. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

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  13. For any two sets A\ a n d\ B ,\ prove that BsubAuuB

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  14. For any two sets A\ a n d\ B ,\ prove that AnnBsubA

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  15. For any two sets A\ a n d\ B ,\ prove that AsubB=>AnnB=A

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  16. Show that A nn B=A nn C need not imply B!=C

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  17. Show that if A subB , then C" "-" "BsubC" "-" "A .

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  18. Prove that Auu (Ann B)= A

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  19. For any two sets, prove that:\ Ann(AuuB)=A

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  20. Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty ...

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