| A System | B System | F-V System | R-S System | Z-System | ||||
| A1D
A2D A1H D |
Ox8
01 0xQI' PI' B2G |
F
V |
R
S |
X
Z |
| Set I | |||||
| Bull A
Bull B Dam 1 Calf 1 Calf 2 Calf 3 Bull C Bull D Dam 2 Calf 1 Calf 2 Calf 3 |
A1D/A2D
A2D/D A1H/D A2D/D A1H/A2D A1H/D Set II A1D/A1D A1D/A1H A2D/A1H A1D/A2D A1H/A2D A2D/A1D |
O1/PI'
Ox8/B2G OxQI'/PI' OxQI'/PI' Ox8/PI' O1/Ox8 O1/B2G Ox8/PI' Ox8/B2G O1/B2G Ox8/Ox8 Ox8/B2G |
F/F
F/V F/V F/V V/V V/V F/V F/V V/V F/V F/V V/V |
R/S
R/R R/S R/S R/S R/R R/R R/R R/S R/R R/S R/R |
X/X
X/Z Z/Z X/Z Z/Z X/Z X/Z X/Z X/Z Z/Z X/X X/Z |
Calf 1. The B system indicates that Bull B cannot be the sire of the calf. Since the OxOI' factor must come from the dam, the sire must supply PI', which only bull A possesses.
Calf 2. Bull B is indicated as the sire as Bull A is excluded due to systems B, F-V and Z.
Calf 3. Since Dam 1 cannot be the dam of the calf (on the basis of the B system), there is no need to know the sire of the calf. However, Bull A cannot be the sire of the calf due to the F-V system and the A system. In this case the cow must have switched calves with another cow at calving. It also could be an ET calf.
Calf 1. Bull C must be the sire (D is excluded) due to the B system.
Calf 2. Both the A and B systems exclude Bull C from being the sire, thus D is indicated as the sire.
Calf 3. Either bull C or D could be the sire; it is impossible to exclude either bull based on the information given.