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//Title of this code
//Rextester.Program.Main is the entry point for your code. Don't change it.

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            string[][] parts = {
                                   new[] { "a", "b", "c" },
                                   new[] { "1", "2", "3", "4" },
                                   new[] { "z", "x" }
                               };
            foreach (string key in EnumerateKeys(parts))
                Console.WriteLine(key);
        }
        
        static IEnumerable<string> EnumerateKeys(string[][] parts)
        {
            return EnumerateKeys(parts, string.Empty, 0);
        }

static IEnumerable<string> EnumerateKeys(string[][] parts, string parent, int index)
        {
            if (index == parts.Length - 1)
                for (int col = 0; col < parts[index].Length; col++)
                    yield return parent + parts[index][col];
            else
                for (int col = 0; col < parts[index].Length; col++)
                    foreach (string key in EnumerateKeys(parts, parent + parts[index][col], index + 1))
                        yield return key;
        }
    }
}

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Compilation time: 0.12 sec, absolute running time: 0.09 sec, cpu time: 0.08 sec, average memory usage: 16 Mb, average nr of threads: 4