For my discrete mathematical structures for computer science class. Please answer all the parts. I'll be sure to thumbs up!

6. Suppose there are 230 computer science students that need to enroll in CSC340, and there are 4 separate sections to choose from. Assume that all students enroll in a section, and classes must have at least 10 and at most 60 students. a. What is the smallest class size possible? b. If students are distributed as evenly as possible among the sections, what is the largest class size? c. Lets now suppose we wish to add another section to reduce the class sizes. Assume we distribute the students evenly across all sections, and move as few students as possible from each section to the new section. How many students were we able to reduce the largest class by? If you arrive at more than one possible answer, choose the largest