LC 77. Combinations

Alen Alex · February 7, 2026

LeetCode Link: 77. Combinations
Language: C#

Problem Statement

Given two integers n and k, return all possible combinations of k numbers chosen from the range [1, n].

You may return the answer in any order.

Example 1:

Input: n = 4, k = 2
Output: [[1,2],[1,3],[1,4],[2,3],[2,4],[3,4]]
Explanation: There are 4 choose 2 = 6 total combinations.
Note that combinations are unordered, i.e., [1,2] and [2,1] are considered to be the same combination.

Example 2:

Input: n = 1, k = 1
Output: [[1]]
Explanation: There is 1 choose 1 = 1 total combination.

Constraints:

1 <= n <= 20 1 <= k <= n

Solution

public class Solution 
{
    public IList<IList<int>> Combine(int n, int k) 
    {
        var list = new List<IList<int>>();

        BT(list, new List<int>(), n, k, 1);

        return list;        
    }

    private void BT(IList<IList<int>> list, List<int> temp, int n, int k, int index)
    {
        if (temp.Count == k)
        {
            var l = new List<int>(temp);
            list.Add(l);
            return;
        }

        for (int i=index; i<=n; i++)
        {
            temp.Add(i);
            BT(list, temp, n, k, i+1);
            temp.Remove(i);
        }
    }
}

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