Choices, choices

Hi, this one's driving me nuts. It feels simple, but I just cant see it.
I have eight groups of digits, of 15 items per group. They are not sequential or in any way related.
I need to randomly pick a group,(which I can do), then use the random pool function to choose an item within that group to display. (Which is also fine, but I cant see how to connect the two operations. )On click, this whole routine is repeated. At the end of 120 clicks, all the numbers will be used up. I've been using strings and counters, but no luck so far. All advice appreciated

Use 8 list objects, with 15 lines per list, and select one line from one list randomly. Do whatever with it, and then delete the line. Rinse and repeat.

Thanks, I should have been a bit clearer. I have to randomly select the group and display that value/name,somehow. Then randomly choose another number from within that group,and display it alongside the first value/name. ANd to make it more interesteng, all the values/names are in fact numbers.