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If A and B are two non-empty sets having...

If A and B are two non-empty sets having n elements in common , then show that `A xx B` and `B xx A` have `n^2` elements in common.

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PATHFINDER-SET,VENN DIAGRAM AND RELATION-QUESTION BANK
  1. For sets A,B and C prove the following using the properties of sets : ...

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  2. For sets A,B and C prove the following using the properties of sets : ...

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  3. If A and B are two non-empty sets having n elements in common , then s...

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  4. Use logical method to prove the following : For any set A prove that ...

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  5. Use logical method to prove the following : For any two sets A and B ...

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  6. Use logical method to prove the following : For any two sets A and B ...

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  7. In a group of 1000 people , 750 can speak Bengali All the people speak...

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  8. Shade the following sets : A' cap B'

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  9. Shade the following sets : A' cup B'

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  10. Shade the following sets : (A cup B) cap (A cup C)

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  11. Shade the following sets : (A cap B) cup (A cap C)

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  12. The following three relations are defined on the set of natural number...

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  13. Let R be the relation defined on the set of natural numbers N as R {...

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  14. A relation R on the set of complex number is defined by z1 R z2 iff (z...

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  15. Let A and B be two sets containing four and two elements respectively....

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  16. Let S = {(a,b,c) in N xx N xx N : a+b+c=21, a le ble c} and T = {(a,b,...

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  17. A relation rho on the set of real number R is defined as follows: xrh...

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  18. If X = {4^n-3n-1: n in N} and Y = {9(n-1):n in N} where N is the set o...

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  19. There is a group of 265 persons who like either singing or dancing or ...

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  20. We define a binary relation ~ on the set of all 3 xx 3 real matrices a...

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