Grasp the fundamentals of generating subsets, permutations, and combinations.

Central CIP Path

Subsets

# Statement
Given an array of integers, `nums`, find all possible subsets of `nums`, including the empty set.

>**Note:** The solution set must not contain duplicate subsets. You can return the solution in any order.

**Constraints:**
* $1 \leq$ `nums.length` $\leq 10$
* $-10 \leq$ `nums[i]` $\leq 10$
* All the numbers of `nums` are unique.

# Pattern: Subsets
Problems such as this one, where we need to find all possible subsets of a given set, can be efficiently solved using the subsets pattern. This pattern involves generating all possible subsets of a given set by using binary representations of indices to represent which elements should be included in each subset. This approach allows us to solve a wide range of problems that involve generating all possible subsets of a set.
 
# Solution


Let's solve the Subsets problem using the Subsets pattern.

Solution: Subsets

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Pattern: Subsets

Solution

Solution: Subsets

Statement▼

Pattern: Subsets

Solution