I'm not a statistician, but would really appreciate some help in resolving a problem I have with producing a representative sample for a mail survey (I hope that I've put this in the right forum - it was a best guess). I'll explain my problem with an example:

Consider a deck of standard playing cards. From this deck I want to select a random sample that meets the following criteria:

a) 10 cards total

b) 5 red, 5 black

c) 2 cards must be a Jack, Queen, or King (e.g. could be 2 Queens, a Queen and a King, etc.)

d) Sample cannot include 6 of spades, 7 of clubs, 7 of hearts, or 10 of clubs.

This problem started out as simple stratified sampling (condition b only), but became more complicated with the addition of more requirements to make the sample representative of multiple strata simultaneously. My actual problem is much the same concept, but more complicated (population of approx 5000, sample approx 1000, approx 10% must be excluded from the sample for specific reasons, approx 30 conditions).

My questions are:

1) Is this still stratified sample? If not, what is it (if it has a name)?

2) Could anyone enlighten me as to which software products are able to undertake this sampling?

Any help appreciated.

Thanks

Stuart