Answer:
Palomino nuts will be heterozygous this is because when two palomino are crossed, the F1 phenotypic ratio is 2:1:1 this means its alleles are incompletely dominant. It shows the palomino resulted from the cross of chestnut and cremello and due to the incomplete dominance it resulted to an intermediate phenotype of golden yellow coat
Whereas the cremello and the Chestnut are have homozygous traits.
Putting into consideration that chestnut and cremello have homozygous traits. We may Assign their alleles as;
Chestnut =A
Cremello= B
Therefore, Palomino will be AB since it is heterozygous