Grayson is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 7 t-shirts, 6 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Grayson have to choose from?

To find the total number of outfit combinations, we need to multiply the number of options for each category together.

There are 2 options for pants, 7 options for t-shirts, 6 options for sweaters/hoodies, and 5 options for shoes.
So, the total number of outfit combinations is 2 * 7 * 6 * 5 = <<2*7*6*5=420>>420. Answer: \boxed{420}.