I've learnt countable nouns must always have determiners or should be plural. However, the construction pattern between A and B seems to be an exception.
There are even stories of half-trained elephant calves who have refused to feed and pined to death when by some unavoidable circumstance they have been deprived of their own trainer. Such extreme cases should probably be taken with a grain of salt, but they do underline the general principle that the relationship between elephant and mahout is the key to successful training. (This is written by Richard Carrington.)
Maybe the pattern "A and/or/nor B" is also an exception.
Mother and child form a close attachment. (This is in a Collins dictionary)
Elephant and mahout form a close attachment. (I wrote this.)
It's not a fit night out for man or/nor beast. (This is in Merriam-Webster's Advanced Learner's Dictionary) (I understand man is used as an uncountable noun here, but beast is always countable.)