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If A and B are two non-empty sets having...

If A and B are two non-empty sets having n elements in common, then prove that `Axx B` and `B xx A` have `n^2` elements in common.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
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  2. Let A = {2, 3, 5, 7}, B = (1, 12, 13, 15}. How many elements are there...

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  3. If A and B are two non-empty sets having n elements in common, then pr...

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  4. Let A = {x, y,z} and B = {1,2}. Find the number of relations from A to...

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  5. Let A = {1, 2}. List all relations on A.

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  6. A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom A to B by R...

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  7. Write the relation R = {(x, x^3) : x is a prime number less than 10} i...

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  8. Let R be the relation on Z defined by R = {(a,b ): a, b in Z, a-b is a...

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  9. Let A = {3,5} and B = {7, 11}. Let R = {(a, b):a in A, b in B, a -b is...

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  10. Which of the following graphs of relations defines a transitive relati...

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  11. Let R be the relation on Z defined by aRb if and only if a -b is an ev...

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  12. Let R be the relation on Z defined by aRb if and only if a -b is an ev...

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  13. Let R be the relation on Z defined by aRb if and only if a -b is an ev...

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  14. Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 ...

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  15. Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 ...

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  16. Let R be the relation on Z defined by : R ={(a,b) :a in Z,b in Z, a^2 ...

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  17. Let A = {1, 2, 3, 4, 5} and B = {2, 4, 6, 8, 10}. Let R = {(a, b): a i...

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  18. Determine the domain and range of the relation R defined by : R = {(x+...

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  19. Determine the domain and range of the relation R defined by : R = {(x,...

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  20. Determine the domain and range of the following relation : {(1,2), (1,...

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