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: 22

Answer

6188 ways

Work Step by Step

As the balls are identical the order is not important in which they are distributed. Ways to fill r indistinguishable balls into n bins is given by $C$(n+r-1,r) here r=12, n=6 So ways = $C$(6+12-1,12) = $C$(17,12) =6188
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