An Hfr strain (arg+, bio+, leu+) is mated to an F- strain (arg-, bio-, leu-). Assume that this Hfr strain transfers arg+ last. You grow the exconjugants on arg- media, supplemented with leu+ and bio+. You recover 423 arg+ exconjugants. These are tested individually for bio and leu and you find the following distribution of genotypes:
arg+, bio+, leu+ 360
arg+, bio+, leu- 9
arg+, bio-, leu+ 0
arg+, bio-, leu- 54
Determine the gene order and the recombination distances between the three genes.