We appreciate your visit to A florist is making three corsages from four types of flowers gardenias orchids roses and violets Each corsage will contain exactly three flowers The nine. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The pair of flowers that can be in the same corsage are gardenias and orchids. This combination meets the conditions provided as orchids must be with gardenias if there are no violets, fulfilling the requirement for the presence of orchids and avoiding conflict with roses and violets being in separate corsages.
Explanation:
The student is faced with a problem involving conditions and logical deductions. The florist must make three corsages with at least one of four types of flowers and meet certain conditions about the distribution of these flowers among the corsages. Gardenias, orchids, roses, and violets are the types of flowers being considered. The question is asking which pair of flowers can be in the same corsage, taking into account the rules provided. According to the conditions, if violets are in one corsage, then roses must be in another corsage. This means violets and roses cannot be in the same corsage, eliminating option b). It also states that orchids must be in the same corsage as gardenias if violets are not used. Since all corsages must include each type of flower, and we need twice as many roses as orchids, orchids and violets cannot be in the same corsage because that would not leave room for gardenias based on the given conditions, eliminating option c). The possible option that meets all the conditions provided is option d) gardenias and orchids. This is because, according to the logical rules, orchids must be with gardenias if there are no violets, fulfilling the requirement that orchids are present and avoiding the conflict with roses needing to be separated from violets.
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