Calculating Combinations for Experimenter

Please Help!

Trying to figure out how to generate a table representing all the possible combinations of the following for use in experimenter.

I have 6 different part types (1,2,3,4,5,6).
I then have 8 different machining centers (1,2,3,4,5,6,7,8).

The 8 machines will be allowed to run any combination of up to 4 of the 6 different part types.

Example 4 part mix:

Machines - 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Parts - 2 | 2 | 1 | 3 | 3 | 5 | 5 | 5

Example 2 part mix:

Machines - 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Parts - 2 | 2 | 2 | 6 | 6 | 6 | 6 | 6

Or stated

Number set (1,2,3,4,5,6)

Rules:

1). Return 8 number sets using 4 or less differing digits from above set within.
2). Rank 8 digits lowest to highest
3). Return all unique possible combinations (no duplicates, no randomness)
4). Seperate each 8 digit set to a unique row
5). Seperate each digit in 8 digit sets row to unique column

I'd really love to get data to a table as stated above so I can copy direct to experimenter.

Thanks for letting me borrow your brains

Ryan

Okay with the help of a great website I have a solution!

Website:
http://www.mathsisfun.com/combinator...alculator.html

This site allows you to put in your desired number of values and how many selections you'd like sample from it. You are then allowed to choose yes/no if Order is important or if repitition is allowed. But the greatest part is that also with the # of combinations calculated it also returns a list if you enter your specific choices and then click on the list button and gives 4 different output formats. If you choose csv you will get rows where the values are seperated by commas. Then all you need to do is paste to excel and specify that comma values should act as column segregators. Hope this helps someone else too!

Would love to understand how to generate that list from code though if anyone should ever want to tackle responding with it!!

Update: Okay I got a little bit ahead of myself - this only got me so far. I will still need to take the list and filter it for the maximum of 4 differing integers in the 8 digit set and throw out the sets with > 4.

In case anyone should want to use this - I have finally solved the problem of filtering my table of numbers to only return those with 4 or less unique digits within the 8 digit set. I've attached an example of the code I wrote to filter and write out the new table (Version 5.1.2). All of the code is in the "On Reset" model trigger. Essentially when Reset is pressed the code will analyze the values in table "Test" and write out only the valid ones to table "Writeout". All fails will populate the Output Console window (If Open) as an Array. I made this mostly dynamic so that if anyone should like to they may use more or less columns of values and change the amount of unique digits they'd like to filter for. Just read the notes at the top of the On Reset code.


Cheers,
Ryan