# In how many ways can 3 novels, 2 mathematics books, and 1 chemistry bo

In how many ways can 3 novels, 2 mathematics books, and 1 chemistry book be arranged on a bookshelf if (a) the books can be arranged in any order? (b) the mathematics books must be together and the novels must be together? (c) the novels must be together, but the other books can be arranged in any order?
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rodclassique4r
a) 6! Permutations of 6 discernible books.
b)$3!×2!×3!$ 3! permutations of the novels together, 2! permutations of math books together and 3! permutations of the novel bundle, math bundle and chemistry book.
c)$3!×4!$ 3! permutations of the novels with 4! permutations of the novel bundle with the 3 other books.
Results:
a) 720 possible permutations.
b) 72 possible permutations.
c) 144 possible permutations.