Linked autosomal genes

/in /by

A woman is heterozygous for three linked autosomal genes and has the genotype GgHhMm. The three genes are arranged on the chromosomes in the order listed (i.e. G then H then M). Her husband is homozygous recessive for each of the genes. They have eight children with the following genotypes:

Three are GghhMm.

Two are ggHhmm.

One is GgHhmm.

One is Gghhmm.

What is the most likely combination of alleles on each of the mother’s chromosomes? Explain.