Final answer:
The correct answer to the question regarding which 'colorful' family of flowers includes the corn cockle and members of the genus Dianthus is carnations (d). Carnations are part of the Caryophyllaceae family, which falls under the Anthophyta or angiosperms group of flowering plants.
Step-by-step explanation:
The 'colorful' family of flowers Caryophyllaceae, which includes the corn cockle and members of the genus Dianthus, refers to carnations (d). This family is part of the Anthophyta group, also known as angiosperms or flowering plants. Within Anthophyta, there are various classes of plants including monocots and eudicots. Members of the Caryophyllaceae are considered eudicots, which is a term that encompasses most of the plants traditionally considered dicots but eliminates some based on phylogenetic classification. This contrasts with monocots, a group that diverged early in the history of angiosperms and includes plants like the orchid and grass families.
Carnations, specifically, are known for their vibrant colors and fragrant flowers, which make them popular in gardens and as cut flowers. As opposed to the roses, tulips, and daisies, which belong to different botanical families (Roses to Rosaceae, tulips to Liliaceae, and daisies to Asteraceae), carnations are the correct answer to the question regarding the Caryophyllaceae family.