Consider the following situation from one of Mr. Plesko's class (pre-pandemic):

31 students in the class

24 show up out of uniform, of these:

o 6 are wearing a hat

o 15 are wearing running shoes

o 12 are wearing a hoodie

o In addition

Only one student had a hat, running shoes and a hoodie

Two were wearing a hat and hoodie, but not running shoes

Two were wearing a hat and running shoes, but not a hoodie

Assuming these were the only uniform infractions, how many students were wearing a hoodie and running shoes, but not a hat?