Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 6 - Section 6.5 - Generalized Permutations and Combinations - Exercises - Page 432: 13

Answer

4,504,501 ways to store 3000 copies in three warehouses.

Work Step by Step

Ways to fill r indistinguishable books into n warehouses is given by C(n+r-1,r) . In our case r= 3000 , n= 3 So C(3000+3-1,3000) = C(3002,3000) = 4,504,501 ways to store 3000 copies in three warehouses.
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