Alleles at two loci (locus A = alleles A1 & A2; locus B = alleles B1 & B2) are segregating in this family.  Colored boxes mark combinations of alleles that can be traced through the pedigree.  In generation III we can distinguish people who received nonrecombinant (A1B2 or A2B1) or recombinant (A1B1 or A2B2) sperm from their father.  Because individual II2 is homozygous at these two loci we cannot identify which individuals in generation III developed from nonrecombinant or recombinant oocytes.  
Recombinants and Nonrecombinants