The offspring plant must have genotype Rr for flower color (pink flowers) and Ww for seed shape (wrinkled). In fact we know more: we know the R and W came from one parent, so are on the same chromosome, and also the r and w on the other chromosome, from the other parent. We write this RW/rw.
Explanation:
When the genotype of a carnation is heterozygous for the trait (Rr), the result is a pink color that comes from the incomplete dominance of the alleles. In codominance there are two or more dominant alleles.