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In a group of 70 people, 37 like coffee,...

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

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PSEB-SETS-EXERCISE
  1. If S and T are two sets such that S has 21 elements, T has 32 elements...

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  2. If X and Y are two sets such that X has 40 elements, X uu Y has 60 ele...

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  3. In a group of 70 people, 37 like coffee, 52 like tea and each person l...

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

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  5. In a committee, 50 people speak French, 20 speak Spanish and 10 speak ...

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

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  7. In the following, determine whether the statement is true or false. If...

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  8. In the following, determine whether the statement is true or false. If...

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  9. In the following, determine whether the statement is true or false. If...

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  10. In the following, determine whether the statement is true or false. If...

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  11. In the following, determine whether the statement is true or false. If...

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  12. In the following, determine whether the statement is true or false. If...

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  13. Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A n...

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  14. Show that the following four conditions are equivalent : (i) A sub B (...

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  15. Show that if A sub B, then C -B sub C -A.

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  16. Assume that P(A) = P(B). Show that A = B

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  17. Is it true that for any sets A and B, P(A) uu P(B) = P(A uu B)? Justif...

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  18. Show that for any sets A and B, A = ( A nn B) uu ( A -B ) and A uu (B-...

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  19. Using properties of sets, show that A uu ( A nn B)=A

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  20. Using properties of sets, show that A nn (A uu B)=A

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