Recall & Review
beginner
What is a powerset of a set?
The powerset of a set is the collection of all possible subsets of that set, including the empty set and the set itself.
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beginner
How many subsets does a set with n elements have?
A set with n elements has 2^n subsets in its powerset.
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intermediate
What is the main idea behind generating all subsets using backtracking?
The main idea is to explore each element by either including it or excluding it, recursively building all possible subsets step by step.
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beginner
In TypeScript, which data structure is commonly used to store subsets when generating a powerset?
An array of arrays is commonly used, where each inner array represents one subset.
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beginner
Why is the empty subset always included in the powerset?
Because the empty subset represents the choice of selecting no elements, and powerset includes all possible subsets by definition.
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How many subsets will the powerset of [1, 2, 3] contain?
✗ Incorrect
A set with 3 elements has 2^3 = 8 subsets.
Which approach is commonly used to generate all subsets of a set?
✗ Incorrect
Backtracking explores all inclusion/exclusion choices to generate subsets.
What does the empty subset represent in the powerset?
✗ Incorrect
The empty subset contains no elements.
In TypeScript, what type best represents the powerset of a number array?
✗ Incorrect
An array of arrays (number[][]) holds all subsets.
If you have a set of 4 elements, how many subsets will the powerset have?
✗ Incorrect
2^4 = 16 subsets.
Explain how to generate all subsets (powerset) of a set using backtracking.
Think about making a choice for each element: take it or leave it.
You got /4 concepts.
Describe the size of the powerset for a set with n elements and why.
Consider binary choices for each element.
You got /3 concepts.