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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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The binary operation ∗ on the set {1,2,3,4,5} is defined as `a∗b=H.C.F of a and b. `
The operation table for the operation ∗ can be given as:-
∴The operation table ∗ ∗ ′ are the same.Thus, the operation ∗' is the same as the operation ∗
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