Page Turner loves discrete mathematics. She has 4 "graph theory" books, 8 books about combinatorics, and 8 "set theory" books. How many ways can she place her discrete mathematics books on the same shelf in a row if: a) there are no restrictions. 2.4329E+18 b) graph theory books are next to each other but the others could be anywhere on the shelf. 8.5365E+15 c) books are organized by their topic (same kinds are next to each other).
Page Turner loves discrete mathematics. She has 4 "graph theory" books, 8 books about combinatorics, and 8 "set theory" books. How many ways can she place her discrete mathematics books on the same shelf in a row if: a) there are no restrictions. 2.4329E+18 b) graph theory books are next to each other but the others could be anywhere on the shelf. 8.5365E+15 c) books are organized by their topic (same kinds are next to each other).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Page Turner loves discrete mathematics. She has 4 "graph theory" books, 8
books about combinatorics, and 8 "set theory" books. How many ways can she place
her discrete mathematics books on the same shelf in a row if:
a) there are no restrictions.
2.4329E+18
b) graph theory books are next to each other but the others could be anywhere on the
shelf.
8.5365E+15
c) books are organized by their topic (same kinds are next to each other).
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