Brooklyn Tech License Plates
The Brooklyn Tech Alumni Foundation is producing a set of commemorative license plates. Each plate contains a sequence of 5 characters. Each character is chosen from the four letters in TECH and the four digits in 2012. No character may appear more times on the license plate than it appears among the four letters in TECH or the four digits in 2012 (i.e. a 2 may appear, at most, twice, but all other characters can only appear, at most, once). How many different license plates are possible?