How many bingo cards are there?

Extract

In his article on bingo in the June 1985 Gazette, M. G. Sykes makes the implicit assumption that the fifteen numbers on a bingo card may be chosen from the set {1, 2,…, 90} without restriction. This is not correct—there are severe constraints on the choices. He also assumes in his calculations that the cards are printed at random. Whether this is ever the case I do not know, but the bingo cards produced for various tabloid newspapers in recent years are produced in a highly systematic manner, some details of which will be given in this article.