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Let **'be the binary operation on the s...

Let `**'`be the binary operation on the set `{1, 2, 3, 4, 5}`defined by `a**'b= HCF`of a and b. Is the operation `**'`same as the operation `**`defined Justify your answer.

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To determine whether the binary operation `**'` defined by `a **' b = HCF(a, b)` on the set `{1, 2, 3, 4, 5}` is the same as another operation `**`, we need to analyze and compare the results of both operations. ### Step-by-Step Solution: 1. **Define the Set and Operation**: Let the set \( A = \{1, 2, 3, 4, 5\} \). The operation `**'` is defined as: \[ a **' b = \text{HCF}(a, b) ...
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