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For any sets A and B, show that P ( A ...

For any sets A and B, show that
`P ( A ∩ B ) = P ( A ) ∩ P ( B )`.

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KUMAR PRAKASHAN-SETS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = { 2, 3, 5, 7 }. Find A...

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  2. Let A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find A – B and B – A.

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  3. Let V = { a, e, i, o, u } and B = { a, i, k, u}. Find V – B and B – V

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  4. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find...

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  5. Let U be universal set of all the students of Class XI of a coeducatio...

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  6. Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}. Find A′, B...

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  7. If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elem...

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  8. In a school there are 20 teachers who teach mathematics or physics. Of...

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  9. In a class of 35 students, 24 like to play cricket and 16 like to play...

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  10. In a survey of 400 students in a school, 100 were listed as taking app...

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  11. There are 200 individuals with a skin disorder, 120 had been exposed t...

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  12. There are 200 individuals with a skin disorder, 120 had been exposed t...

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  13. There are 200 individuals with a skin disorder, 120 had been exposed t...

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  14. Show that the set of letters needed to spell “ CATARACT ” and the set ...

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  15. List all the subsets of the set { –1, 0, 1 }.

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  16. Show that A ∪ B = A ∩ B implies A = B

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  17. For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ).

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  18. A market research group conducted a survey of 1000 consumers and repor...

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  19. Out of 500 car owners investigated, 400 owned car A and 200 owned car...

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  20. A college awarded 38 medals in football, 15 in basketball and 20 in cr...

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