Suppose you have 22 shoes in a basket: 5 identical pairs of sneakers, 4 identical pairs of sandals, and 2 identical pairs of dress shoes. You select shoes from the basket in the dark, hoping to get a matching pair, and can check them only after a selection has been made. What is the smallest number of shoes you need to select where you could possibly have at least one matching pair? What is the smallest number you would need to select to have at least one matching pair? Note that a "matching pair" consists of a left and right shoe of the same type (i.e., a left and right sneaker).