Combination of List<List<int>>

It's quite similar to this answer I gave to another question:

var combinations = from a in A
                   from b in B
                   from c in C
                   orderby a, b, c
                   select new List<int> { a, b, c };

var x = combinations.ToList();

For a variable number of inputs, now with added generics:

var x = AllCombinationsOf(A, B, C);

public static List<List<T>> AllCombinationsOf<T>(params List<T>[] sets)
{
    // need array bounds checking etc for production
    var combinations = new List<List<T>>();

    // prime the data
    foreach (var value in sets[0])
        combinations.Add(new List<T> { value });

    foreach (var set in sets.Skip(1))
        combinations = AddExtraSet(combinations, set);

    return combinations;
}

private static List<List<T>> AddExtraSet<T>
     (List<List<T>> combinations, List<T> set)
{
    var newCombinations = from value in set
                          from combination in combinations
                          select new List<T>(combination) { value };

    return newCombinations.ToList();
}

If the number of dimensions is fixed, this is simply SelectMany:

var qry = from a in A
          from b in B
          from c in C
          select new {A=a,B=b,C=c};

However, if the number of dimensions is controlled by the data, you need to use recursion:

static void Main() {
    List<List<int>> outerList = new List<List<int>>
    {   new List<int>(){1, 2, 3, 4, 5},
        new List<int>(){0, 1},
        new List<int>(){6,3},
        new List<int>(){1,3,5}
    };
    int[] result = new int[outerList.Count];
    Recurse(result, 0, outerList);
}
static void Recurse<TList>(int[] selected, int index,
    IEnumerable<TList> remaining) where TList : IEnumerable<int> {
    IEnumerable<int> nextList = remaining.FirstOrDefault();
    if (nextList == null) {
        StringBuilder sb = new StringBuilder();
        foreach (int i in selected) {
            sb.Append(i).Append(',');
        }
        if (sb.Length > 0) sb.Length--;
        Console.WriteLine(sb);
    } else {
        foreach (int i in nextList) {
            selected[index] = i;
            Recurse(selected, index + 1, remaining.Skip(1));
        }
    }
}

How about following way of generating combinations using .Join method?

static void Main()
{
    List<List<int>> collectionOfSeries = new List<List<int>>
                                {   new List<int>(){1, 2, 3, 4, 5},
                                    new List<int>(){0, 1},
                                    new List<int>(){6,3},
                                    new List<int>(){1,3,5}
                                };
    int[] result = new int[collectionOfSeries.Count];

    List<List<int>> combinations = GenerateCombinations(collectionOfSeries);

    Display(combinations); 
}

This Method GenerateCombinations(..) does main work of generating combinations. This method is generic so could be used for generating combinations of any type.

private static List<List<T>> GenerateCombinations<T>(
                                List<List<T>> collectionOfSeries)
{
    List<List<T>> generatedCombinations = 
        collectionOfSeries.Take(1)
                          .FirstOrDefault()
                          .Select(i => (new T[]{i}).ToList())                          
                          .ToList();

    foreach (List<T> series in collectionOfSeries.Skip(1))
    {
        generatedCombinations = 
            generatedCombinations
                  .Join(series as List<T>,
                        combination => true,
                        i => true,
                        (combination, i) =>
                            {
                                List<T> nextLevelCombination = 
                                    new List<T>(combination);
                                nextLevelCombination.Add(i);
                                return nextLevelCombination;
                            }).ToList();

    }

    return generatedCombinations;
}

Display helper..

private static void Display<T>(List<List<T>> generatedCombinations)
{
    int index = 0;
    foreach (var generatedCombination in generatedCombinations)
    {
        Console.Write("{0}\t:", ++index);
        foreach (var i in generatedCombination)
        {
            Console.Write("{0,3}", i);
        }
        Console.WriteLine();
    }
    Console.ReadKey();
}