[填空题]
In an art museum, there are 8 dif4 m z;khomeed:c 8d;rl)cdq 7;fereotm;bm;pvd 4fq1(iq 7 nt paintings by Picasso, 5 different paintings by Van Gogh, and 3 different paintings by Rembrandt. The curator of the1ov7fmpq;qd ;4b mit( museum wants to hold an exhibition in a hall that can only display a maximum of 7 paintings at a time.
The curator wants to include at least two paintings from each artist in the exhibition.
1. Given that 7 paintings will be displayed, determine how many ways they can be selected.
2. Find the probability that more Rembrandt paintings will be selected than Picasso paintings or Van Gogh paintings.