Concept:The union of sets combines all distinct elements from the given sets, removing any duplicates.Explanation:First, find A∪B: combine {1,5,7} and {3,9,12,15}.So A∪B={1,3,5,7,9,12,15}.Then take the union with C={2,4,6,8}.Combine all the elements from both results:{1,3,5,7,9,12,15}∪{2,4,6,8}={1,2,3,4,5,6,7,8,9,12,15}.Therefore, (A∪B)∪C={1,2,3,4,5,6,7,8,9,12,15}.Answer:Option A: {1,2,3,4,5,6,7,8,9,12,15}