(1) is divided into three categories: the first category is Chinese teachers who choose 12 different methods; In the second category, there are 13 different ways to choose a math teacher. The third category, there are 15 different ways to choose English teachers. * * * There are12+13+15 = 40 different ways to choose an English teacher.

(2) There are three steps: the first step is to choose a Chinese teacher, 12 different methods; The second step is to choose a math teacher, 13 different methods; The third step, there are 15 different ways to choose English teachers. * * There are12×13×15 = 2340 different ways to choose an English teacher.

(3) Three types: there are 12× 13 different ways to choose Chinese teachers and math teachers; There are 12× 15 different ways to choose Chinese teachers and English teachers. There are 15× 13 different ways to choose English teachers and math teachers. * * Yes12×13+12×15+13× 65438.