(2). We wish to solve the following problem using Inclusion/Exclusion: How many ways are there to distribute 100 homeworks to 10 distinct teaching assistants so that each of the first 5 teaching assistants get at most 12 homeworks each? (Note that we only care how many homeworks each teaching assistant gets, not which homeworks.) (a). Define Ai​ the event that: (b). Solve using Inclusion/Exclusion and the events defined in part (a).