What is the number of narrations of a Hadith compared to the number of narrators, and is it true that there is no weak narration despite the presence of a large number of weak narrators?

It is difficult to compare the number of narrations with the number of narrators, as a single hadith might be narrated by a group, and a single narrator might narrate a number of hadiths. The claim that there is no weak narration is incorrect, as the condition of the narrator affects the ruling on his narrations. For example, the hadith "Recite Ya-Sin over your dead" is weak due to the anonymity of Abu 'Uthman and his father, and the hadith "No separation shall be made between a mother and her child" is weak due to the weakness of Husayn ibn 'Abdullah. A hadith might be weakened due to the weakness of its narrators, but it might become authentic if it is narrated through another sound chain. Furthermore, the chain of narration might be sound, but the text might be weak due to a defect within it. This is a vast field of knowledge.