Based on the information provided, we can conclude the following:
- In generation I, one parent is affected by the gene mutation, and one parent is not.
- In generation II, all three children are affected by the gene mutation.
From this, we can infer the following:
If the affected parent must have at least one copy of the mutated gene (essentially representing either a homozygous dominant or heterozygous status) and the unaffected parent has no copies of the mutated gene, the only logical conclusion is that this gene mutation is likely a dominant disorder. This is because all offspring are affected despite one parent being unaffected.
Therefore, the correct answer is:
D) This gene mutation is a dominant disorder.