Hi Mitch,
It tends to be a little complicated, best info is from the Big Game brochure, their website, or call and talk to a customer rep. There is a limit to the number of deer licenses for each unit. They are available thru the draw that you apply for by early April or as leftover licenses that go on sale at license agents in early august. You can get one license thru the draw and another as a leftover license, or two leftover licenses (generally does). Sometimes you can also get additional licenses for special hunts if they want to cull the herds in the winter.
For elk it is a similar process, you can get one license thru the draw (bull or cow) and another as a leftover license. For both elk and deer the licenses are classified as "A" or "B". You can get an "A" and a "B", or 2 "B"s, but not two A's. You can also get a 2nd or 3rd season over the counter bull license that is good for most units. This is a type "A" license, same as bull licenses thru the draw. Cow or doe tags thru the draw can be either type "A" or "B". This year I applied for a type "B" cow tag thru the draw for the third season and I hope to pick up another cow tag for the second season in a different unit. Hope that ups my odds for success, the freezer is empty and my wife's complaining!
Good hunting!