different in many ways How can organize new books on a shelf?
My question is this: A library receives 3 copies a biology textbook, 4 copies of a math text book, 5 copies of an English textbook, and 2 copies of a school newspaper. How many different ways can these newcomers arranged on a shelf? How I can do to fix this?
The first digit is how many different ways that books can be arranged. There are 14 pounds, while the answer is 14! (14×13x12. ..) should remove the "Indistingushable" ways. Bio books can be arranged in 6 ways (3×2x1), but these combinations can be distinguished. So, divide the total number indistinguishable at 14! / (3! X 4 "X 5" X 2) Now is the easy answer. The question did not specify that the books be placed on the right-upward or outward to the spine. This adds to least 8-12 times how each product can be placed on the board. Probably should include a warning not to follow these conditions.
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