only if the table has some other unique key besides the surrogate auto_increment key -- which it should have!!
in this case, let's assume that choice_name and choice_type together form a unique key
then you would return the ids like this --
WHERE choice_name = 'choice 1' AND choice_type = 'r'
OR choice_name = 'choice 2' AND choice_type = 'c'
OR choice_name = 'choice 2' AND choice_type = 'r'