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If Aa n dB are two sets having 3 element...

If `Aa n dB` are two sets having 3 elements in common. If `n(A)=5,n(B)=4,` find `n(AxxB)a n dn[(AxxB)nn(BxxA)]dot`

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To solve the problem step by step, let's break it down clearly. ### Given: - Sets \( A \) and \( B \) have 3 elements in common. - \( n(A) = 5 \) (the number of elements in set \( A \)) - \( n(B) = 4 \) (the number of elements in set \( B \)) ### Step 1: Identify the number of unique elements in sets \( A \) and \( B \) ...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Let R be the relation on Z defined by R={(a , b): a , b in , a-b is a...

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  2. If A={1,2,4},B={2,4,5},C={2,5},t h e n(A-B)xx(B-C) is (a){(1, 2), (1...

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  3. If Aa n dB are two sets having 3 elements in common. If n(A)=5,n(B)=4,...

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  4. If A={1,3,5},B={x ,y} find the following products AxxB (ii) BxxA (iii...

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  5. If A={1,2} , find AxxAxxAdot

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  6. Theorem 2 (For any three set A;B;C; prove that Axx(B-C)=(AxxB)-(AxxC)

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  7. For any three sets A ,B ,C prove that: Axx(B^(prime)uuC^(prime))^'=...

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  8. If BsubeA , show that BxxBsube(AxxB)nn(BxxA)dot

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  9. If Aa n dB are any two non-empty sets, then prove that: AxxB=BxxA A=B...

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  10. If AsubeB , and CsubeD , prove that AxxCsubeBxxDdot

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  11. If AsubeB , prove that AxxCsubeBxxC for any set Cdot

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  12. If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by x R y, x ...

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  13. If A={1,2,3},B={4,5,6}, which of the following are relations from AtoB...

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  14. A" "=" "{1," "2," "3." "5}" "a n d" "B" "=" "{4," "6," "9} . Define a ...

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  15. A relation R is defined from {2,3,4,5,} to{3, 6, 7, 10}by : x R y :...

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  16. Let R be a relation in N defined by (x ,y) in R x+2y=8 . Express Ra ...

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  17. The Cartesian product A xxA has 9 elements among which are found (...

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  18. Let A={-1,3,5} and B={2,3} find the following products (i) AxxB (ii) ...

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  19. Express A={(a ,b):2a+b=5,a ,b in W} as the set ordered pairs.

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  20. If AxxB={(a ,1)(b ,3),(a ,3),(b ,1),(a ,2),(b ,2)}, find Aa n dBdot

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