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Find the number of binary operations on ...

Find the number of binary operations on the set {a, b}.

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Number of binary operations On `{ a,b } = 2^(2)^(2) = e^(4) = 16`.
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MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
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  2. Let * is a binary operation on Z defined as a * b = a + b - 5 find the...

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  3. Find the number of binary operations on the set {a, b}.

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  4. Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b...

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  5. List the members of the equivalence relation defined by {{1},{2},{3,4...

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  9. Let A = {a,b,c) and the relation R be defined on A as follows: R={{a...

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  10. Let X and Y be sets containing m and n elements respectively.How many ...

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  11. Show that the relation R in the set of real numbers, defined as R = {(...

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  13. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  14. Let * is a binary operation on the set of all non-zero real numbers, g...

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  15. Test whether the relations are reflexive, symmetric or transitive on t...

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  17. If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...

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  18. Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...

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  19. Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...

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