Random Numbers assigned to static values multiple times no duplicates....?

What im trying to accomplish is this, We have 12 kids and and 6 Families. I want to be able to assign the kids to each family in a way they will not duplicate more than once for anyone family and the family ends with three kids to give presets to(not their own kids). Each family needs to be assigned three kids non of which can be duplicate for that family. Trying to make random lottery style sheet for giving kids presents. Guys i know this sounds crazy. I may be over complicating this, but I know there has to be a way. I have been messing around with the Rand function in excel, (and maybe this is more of an access goal), but if you could set up the randbetween function to not equal itself in another cell this could work possibly. But I haven't figured this out.

Screenshot 2014-11-23 19.22.35.jpg

This is so close I can taste it. YOU ARE A LIFE SAVER. I want to be able to assign 3 presents to each family. Where in to formula do i need to change?Microsoft Excel - family presents (1)_2014-11-24_10-41-16.png

Lets look at it like this then... instead of grouping families together, lets say you have 12 adults giving presents to 12 children. but you want each family to select three children that are not there own. Im confusing my self now, Maybe I will just put names in a hat. But i really want to figure this out now.

Microsoft Excel - family presents (1)_2014-11-24_14-10-40.png Please see attached image.

Ok im a fool guys, I was looking at this wrong according to my wife, Nuff said. She wants each kid to get three presents, making each family buying 6 gifts. So this should work now. Can we alter the sheet above to accommodate?