Here is me summarizing previous posts (aka literature review

):

MrNumbers selects a certain tile from the entire pool at each step, places it strategically, and discards all the tiles that would be discarded if they were randomly drawn at next step.

JT Atomico arranges the tiles into a certain order (aka gives a permutation of the tiles), draws tiles sequentially, places the tiles where he wants to, and continues as per normal game play (discards a tile when it can't be placed).

It seems that we have two problems to solve now.