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    LR Three colleges in Beijing- Lee, Peking and Molo are making proposals for three different types of teaching schedules for the same head university. Each college will present only one type of proposal during each presentation. The three types of proposals are Syllabus, Lectures and AssignmentsEach college will be given an opportunity to present at 8 AM, 9 AM and 10 AM and may propose the same proposal more than once, but only one proposal per time slot.The following is known about the colleges and their proposals:Peking does not present a Lecture proposal in any of their presentations.Molo presents a Assignment proposal in at least one of their three presentations, but not at 9 AM.Lee presents the same proposal at 9 AM and at 10 AM.Molo does not present a Lecture proposal at 8 AM.No college presents the same proposal in the same time slot.If Molo presents Syllabus proposal only at 9 AM, then which one of the following must be true?Lee presents Lecture proposal in as many time slots as they present Assignment proposal.Peking presents Syllabus proposal in as many time slots as they present Assignment proposal.Molo presents Syllabus proposal in as many time slots as they present Lecture proposal.Lee presents Syllabus proposal in as many time slots as they present Assignment proposal.