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[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

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There are 3 distinct mathematics books, 4 distinct physics books, and 2 distinct chemistry books.
(I) If all the books are arranged on the same shelf and books of the same subject cannot be separated, how many different arrangements are possible?
(II) If 5 books are chosen from the collection, find:
  a) The number of different selections with exactly 2 mathematics books, 2 physics books, and 1 chemistry book.
  b) The number of different selections with at least 1 mathematics book.

Present the answer in LaTex format: \boxed{Your answer}
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