Problem 2 [15 pts]: Comic Shop For this problem, you may leave your answers in the form of combinations and permutations. Alongside her plushies, Lucia has a pretty large comic and mango. collection. Broken into categories, there are: c 13 Marvel comics c 10 DC comics 0 25 Indie comics (including publishers like Image, Boom, Milestone, etc.) o 20 Manga 1. Suppose she wants to arrange the comics such that comics of the same category are together. How many ways can she order the comics? 11. Suppose she wants to give comics to friends. At most how many friends can she give comics to such that each friend is guaranteed to have at least 8 comics? H. H- H- - Now imagine an all-new scenario. Suppose she is just putting together one grab bag of comics for someone. She decides there will be 5 comics in this grab bag, but the following restrictions are placed upon here: u If there are any mange, then there cannot be any DC or Marvel comics. 0 If there are any Marvel comics, then there must be the exact same number of DC comics. How many ways can she put together the grab bag of 5 comics. Two grab-bags are considered the same if they have the same comics, regardless of order