Question 1076341
For the first time slot, there's a choice of 11 new shows. For the 2nd time slot, there's a choice of 10 new shows (assuming no repeats). And so on for the 3rd and 4th time slots. So, this makes a total of:
11x10x9x8, or 7,920 different line-ups. ☺☺☺☺