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Determine the total number of binary ...

Determine the total number of binary operations on the set `S={1,\ 2}` having 1 as the identity element.

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let A=NxxN , and let * be a binary operation on A defined by (a ,\ ...

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  2. Show that the number of binary operations on {1," "2} having 1 as iden...

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  3. Determine the total number of binary operations on the set S={1,\ 2...

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  4. Let * be a binary operation on Z defined by a*b= a+b-4 for all a ,\ ...

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  5. Let * be a binary operation on Z defined by a*b=a+b-4 for all a ,\ b...

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  6. Let * be a binary operation on Q0 (set of non-zero rational number...

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  7. Let * be a binary operation on Q-{-1} defined by a*b=a+b+a b for all...

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  8. Let * be a binary operation on Q-{-1} defined by a*b=a+b+a b for al...

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  9. Let R0 denote the set of all non-zero real numbers and let A=R0xxR0...

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  10. Let * be a binary operation on the set Q0 of all non-zero rational...

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  11. On R-[1] , a binary operation * is defined by a*b=a+b-a b . Prove that...

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  12. Let R0 denote the set of all non-zero real numbers and let A=R0xxR0 ...

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  13. Let R0 denote the set of all non-zero real numbers and let A=R0xxR0 ...

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  14. Let * be the binary operation on N defined by a*b=H C F of a and b ....

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  15. Consider the set S={1,\ -1} of square roots of unity and multiplicatio...

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  16. Consider the set S={1,\ omega,\ omega^2} of all cube roots of unity...

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  17. Consider the set S={1,\ -1,\ i ,\ -i} of fourth roots of unity. Con...

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  18. Consider the set S={1,\ 2,\ 3,\ 4} . Define a binary operation * on...

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  19. Consider the infimum binary operation ^^ on the set S={1,\ 2,\ 3,\ ...

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  20. Consider a binary operation * on the set {1, 2, 3, 4, 5} given by t...

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