Imagine a combinatorial tree showing all the possible arrangements of nucleotides. Some arrangements are functional, meaning they can be plugged into a cell and create a living organism capable of reproducing. Some arrangements are nonfunctional, meaning they can't sustain any living system at all.
In evolution, new information is created as the result of what are essentially an accumulation of copying errors. My question is, would the ratio of functional to nonfunctional arrangements have to be relatively large so that enough genetic information can arise in response to natural selection? If so, what scientific studies have led biologists to conclude that this combinatorial space is rich with functional arrangements. If it isn't necessary please explain why.