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What is the total number of proper subsets of a set containing n elements ?

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MODERN PUBLICATION-SETS-EXERCISE
  1. Write down all the subset of the following set : {a, b}.

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  2. Write down all the subset of the following set : {a, b, c} .

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  3. What is the total number of proper subsets of a set containing n eleme...

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  4. Write down the power set of the following : {0} .

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  5. Write down the power set of the following : {1, 2, 3}.

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  6. How many elements has P(A), if A = phi?

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  7. Write the following as intervals : {x : x in R,-4 < x le 6}

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  8. Write the following as intervals : {x : x in R,-12 < x < -10}

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  9. Write the following as intervals : {x : x in R, 0 le x < 7}

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  10. Write the following as intervals : {x : x in R, 3 le x le 4}

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  11. Write the following interval in set-builder form : (-3,0)

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  12. Write the following interval in set-builder form : [6,12]

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  13. Write the following interval in set-builder form : [6,12]

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  14. Write the following interval in set-builder form : [-23,5)

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  15. What universal set(s) would you propose for each of the following : (i...

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  16. What universal set(s) would you propose for each of the following : (i...

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  17. Given the sets A = {1, 3, 5), B = {2, 4, 6} and C = {0, 2, 4, 6, 8), w...

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  18. Decide, among the following sets, which sets are subsets of one and an...

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  19. Prove that A sub phi implies A =phi.

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  20. Let A, B and C be three sets. If A in B and B sub C, is it true that A...

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