How many melodies there are?

The exact number of melodies is virtually limitless, as melodies can be created by combining different notes, rhythms, and harmonies in countless ways. Even within a specific musical scale or genre, the combinations are vast due to variations in tempo, dynamics, and expression. Additionally, with the advent of digital music composition tools, more melodies are continuously being generated. Thus, while it's impossible to quantify, the potential for new melodies is infinite.