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A library has six identical copies of a certain book. At any given time, some of these copies are at the library and some are checked out. How many different ways are there for some of the books to be in the library and the rest to be checked out if at least two books are in the library and at least two books are checked out? (The books should be considered indistinguishable.)

 Jun 1, 2021
 #1
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Just count the options

2 in, 2 out leaves only 2 books.  they are the only ones that need to be thought about at all.  Where can they be?

 Jun 1, 2021

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