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Q. There are three different lots of Mathematics, Physics and Chemistry books arranged in three different lots as shown in the following diagram
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In how many distinct ways we can pile up these 12 books such that at time of pilling up all these books in a single lot we always pickup the book from the top of respective lots

Permutations and Combinations

Solution:

Correct answer is (c) $\frac{12 !}{3 ! \times 4 ! \times 5 !}$