Answer:
Four (4). BT, Bt, bT and bt
Step-by-step explanation:
The hair color has two alleles, dominant B for black and recessive b for chestnut.
The gait also has two alleles, dominant T for trotter and recessive t for pacer.
Heterozygous black trotter will have the genotype BbTt.
Gametes usually have half the amount of allele of the parents
BbTt can have the the following allelic combination in its gamete: BT, Bt, bT and bt.
Hence, there are four (4) possible types of allele combinations for the two traits and they are BT, Bt, bT and bt.
You can see the attached image for the Punnet square analysis of the gametic alleles.