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In a class of 400 Students, 100 were lis...

In a class of 400 Students, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice or orange juice?

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  1. Are difference and symmetric difference commutative ? Give reason.

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  2. If B sub C, prove that A\\B =A\\C.Is this result true when difference ...

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  3. Prove that (A \\B)\\C =(A\\C)\\B=A\\(B uu C)

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  4. Prove that A nn(B uu C) =(A nn B) uu (A nn C)

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  5. Prove theA Delta (B Delta C ) = (A Delta B ) Delta C

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  6. Prove the A sub B <impliesB' sub A' A <implies A' uu B =U <implies B' ...

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  7. Prove the A uu B = U"and "A nn B = phi impliesB =A'

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  8. Prove the A uu B = A for all A implies B =phi

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  9. Prove theA uu B =B uu A results of the sections 1.13 and 1.14 that are...

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  10. Prove theA nn B = B nn A results of the sections 1.13 and 1.14 that ar...

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  11. Prove that A nn(B uu C) =(A nn B) uu (A nn C)

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  12. Prove that A-oversetn underset(i=1) uuu Bi =overset n underset (i=1) n...

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  13. Prove that |A uu B uu C| =|A|+|B|+|C|+A nn B nn C|-|A nn B|-|B nn C| -...

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  14. If X and Y are two sets such that X uu Y has 20 objects, X has 10 obje...

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  15. In a group of 450 people, 300 can speak Hindi and 250 can speak Englis...

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  16. In a group of people, 37 like coffee, 52 like tea and each person in t...

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  17. In a class of 35 students, each student likes to play either cricket o...

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  18. In a class of 400 Students, 100 were listed as taking apple juice, 150...

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  19. In a group of 65 people, 40 like cricket, 10 like both cricket and ten...

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  20. In a survey it was found that 21 people liked product A, 26 liked prod...

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