This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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d) The possible subsets of the set are A set with elements has subsets. For the set , , so there are subsets. These are the empty set, sets containing one element, and the set itself. The subsets are: (or ), , , .
Comparing this with the given options: (i) (ii) (iii) (iv) ${a},
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d) The possible subsets of the set \a, b\ are A set with n elements has 2^n subsets.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.