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Verify n(AcupBcupC)=n(A)+n(B)+n(C)-n(Aca...

Verify `n(AcupBcupC)=n(A)+n(B)+n(C)-n(AcapB)-n(BcapC)-n(AcapC)+n(AcapBcapC)` for the following sets.
(i) A{a, c, e, f, h}, B = {c, d, e, f} and C = {a, b, c, f}
(ii) A = {1, 3, 5} B = {2, 3, 5, 6} and C = {1, 5, 6, 7}.

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SURA PUBLICATION-SET LANGUAGE-EXERCISE 1.6
  1. If n(A) = 25, n(B) = 40, n(AcupB)=50 and n(B') = 25, find n(AcapB) and...

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  2. If n(A) = 300, n(AcupB)=500,n(AcapB)=50 and n(B') = 350, find n(B) and...

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  3. If U={x:x inNN,xle10}, A = {2, 3, 4, 8, 10} and B = {1, 2, 5, 8, 10}, ...

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  4. Verify n(AcupBcupC)=n(A)+n(B)+n(C)-n(AcapB)-n(BcapC)-n(AcapC)+n(AcapBc...

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  5. In a class, all students take part in either music or drama or both. 2...

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  6. In a party of 45 people, each one likes tea or coffee or both. 35 peop...

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  7. In an examination 50% of the students passed in Mathematics and 70% of...

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  8. A and B are two sets such that n(A - B) = 32 + x, n(B - A) = 5x and n(...

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

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  10. In a colony, 275 families buy Tamil newspaper, 150 families buy Englis...

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  11. A survey of 1000 farmers found that 600 grew paddy, 350 grew ragi, 280...

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  12. In the adjacent diagram, if n(U) = 125, y is two times of x and z is 1...

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  13. Each student in a class of 35 plays atleast one game among chess, carr...

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  14. In a class of 50 students, each one come to school by bus or by bicycl...

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  15. From the given venn diagram. Find (i) A, (ii) B, (iii) AcupB, (iv) Aca...

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  16. If n(A) = 12, n(B) = 17 and n(AcupB)=21" find "n(AcapB).

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  17. In a school, 80 students like Maths, 90 students like Science, 82 stud...

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  18. State the formula to find n(AcupBcupC).

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  19. Verify n(AcupBcupC)=n(A)+n(B)+n(C)-n(AcapB)-n(BcapC)-n(AcapC)+n(AcapBc...

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