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5 General Assignment Problems Four TA's are grading an exam and there are a total of 340 exams to grade. The TA's are distinct, e.g. if TA #1 grade; 100 exams and TA #2 grades 200, that's a. different assignment than ifTA #1 grades 200 exams and TA #2 grada 100. 1. How many ways are there to distribute the exams among the TM if all that. matters is how many exams go to each TA, i.e. if@cams are treated as indistinguishable? 2. Suppose it matters which students\" exams go to which T453. How many ways are there to distribute the exams now, i.e. if exams are treated as W, _ _ _ ___ ._ 1 3. Suppose again that. we are counting the ways to distribute exams to TAS and it. matters which students' exams go to which TA as in part (2). Le. exams are dist' ble but the TA's grade at different speed so we want the mrffamsf the second TA to grade 90, the third TA to grade 80, and the fourth TA to grade 70. How many ways are there to distribute exams subject to these constraints