Step 1 :The problem is asking for all the possible combinations of three children where there is at least one girl. This means we need to list all combinations of 'B' and 'G' of length 3, excluding the combination 'BBB' because it does not contain a 'G'.
Step 2 :The possible combinations are 'BBG', 'BGB', 'BGG', 'GBB', 'GBG', 'GGB', 'GGG'.
Step 3 :\(\boxed{'BBG', 'BGB', 'BGG', 'GBB', 'GBG', 'GGB', 'GGG'}\) is the final answer.