To know what happens here, we need to see how alleles work.
You have three species: cremello, chestnut, and palomino all will be homozygotes with two alleles each.
One of these will be recessive (aa), one will be dominant (AA), and one will be a mixture (Aa).
You know the offsprin, so Cremello and Chestnut are the recessive and dominant ones. If you draw the Punnett square, you'll find out all breeding are pure.
Now, if you draw de Palomino Punnett square having one recessive allele and one dominant allele from each paren, you'll found 1/4 cremello (aa), 1/4 chestnut (AA) and 1/2 palomino (Aa).