New custom caves

Back in December, I posted about a custom order I placed with Pleco Caves in Indiana. I was so pleased with the job Brantley and company did, that I placed another custom order recently. For this batch, I gave them different dimensions than the previous order. The new order arrived today and the caves look great!
Picture

Custom 2″ x 2″ x 4″ ceramic caves from Pleco Caves. Photo courtesy of the author.

Picture

Custom 2″ x 2″ x 4″ ceramic caves from Pleco Caves. Photo courtesy of the author.


These new ones are all ~2″ x 2″, which I wanted at both 4″ and 6″ lengths with open and closed ends. I asked for 4 of each category. So if you know discrete math (specifically combinatorics), how many caves did I order?
 

4 caves each x both 4 and 6″ open (2) x both 4 and 6″ closed (2)
                             
4 x 2 x 2 = 16 

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