Pick a subset from a collection based on a seeded random while excluding already chosen sets

I wand to randomly pick a set of 3 from a collection (1-10) based on a seed that is a date. I want to pick 3 new items every day not repeating the ones i've picked the day before. Is this possible with only the date seed and the collection and no further saved information such as which 3 have been picked yesterday?

Preferably in c#, thanks!