FWIW - I always get the same numbers for the tickets I buy for myself. I just reuse the slip when I buy. It's not a big deal.
However, our lotto group may not always be getting the same number of picks each period because the membership can fluctuate. Not an impossible thing, just a consideration.
This would be totally up to @brun as he's the one who has to deal with the purchase each period. But, like he said, he could just keep the tickets and re-use them each time. It would be nice knowing our numbers as we watch the draws.
The challenge would be picking the numbers. We could do it randomly the first time and then re-use, or we could somehow choose them as a group. Maybe each member picks 3 numbers and we add them? Or I could just do a random number generator thingy.
I'm game for anything, as our track record for the way we are doing it isn't so great.