This scenario describes a child with no freckles, whose mother is heterozygous for freckles (meaning she has one allele for freckles and one for no freckles) and whose father is homozygous recessive (meaning he carries two alleles for no freckles).
In this case, the child with no freckles must inherit the recessive alleles (no freckles) from both parents. Therefore, the child is homozygous recessive, inheriting a recessive allele from both a heterozygous mother and homozygous recessive father.
Thus, this example specifically illustrates the concept of "homozygous recessive" in the child.
So, the correct response would be: homozygous recessive.