Evolution can work with whatever number of mutations be they selective or neutral or mixed to gain a new function. Sometimes one mutation is enough to evolve new functions.
How do I know that sometimes one mutation can suffice to confer a new function? @scd read below:
Analysis of all forty strains and their lac operon-activating mutations showed that: 10 ± 5% were already active without any mutation (4/40), 57.5 ± 8% found mutations within the 103 bases of the random sequence (23/40), 12.5 ± 5% found mutations in the intergenic region just upstream to the random sequence (5/40) and 15 ± 6% utilized genomic rearrangements that relocated an existing promoter of genes found upstream to the lac genes (6/40) (Fig. 3a and Supplementary Note 2).
A nice chart summarizing the above statements from the same paper:
https://www.nature.com/articles/s41467-018-04026-w
(in many cases we will probably need more than that).
Citations?
we can calculate the time to get that new function
You can’t. If you feel otherwise, provide citations.
first, do we agree with that main assumption? if so i will continue.
No.