Imagine you're a quality engineer at a gaming console company. Your team has just completed assembling a new batch of 200 game consoles. Before these consoles can hit the market, they need to be tested for any potential glitches, particularly with the graphics cards. Initial checks have revealed that 12 out of these 200 consoles have faulty graphics cards, which could negatively impact game performance. Your job is to select 8 consoles from this batch to conduct an in-depth performance test to ensure they meet the high standards gamers expect. How many different ways can you select 8 consoles for testing such that exactly 3 of them have faulty graphics cards?
