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3. Binary Operations
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Q6 of 123 Page 3

Write the total number of binary operations on a set consisting of two elements.

Let A be a non-empty set having n elements. Then, the total number of binary operations on this set, i.e., from A×A is .

Here n = 2


Thus, total number of possible binary operations are = 16.


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Define a commutative binary operation on a set.

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Define an associative binary operation on a set.

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Write the identity element for the binary operation * defined on the set R of all real numbers by the rule for all a, b ∈ R.

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Let * be a binary operation, on the set of all non-zero real numbers, given by for all a, b ∈ R – {0}. Write the value of x given by 2 * (x * 5) = 10.

Questions · 123
3. Binary Operations
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