What is the algorithmic issue related to generating all possible subsets of a set that contains n numbers?

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The algorithmic issue related to generating all possible subsets of a set that contains n numbers is that the number of possible subsets is 2^n, which becomes computationally infeasible for large values of n. This means that the algorithm must be designed in such a way that it can efficiently generate all possible subsets without having to generate all 2^n subsets.