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: 8

Answer

225792840 ways

Work Step by Step

The order of selecting donuts do not matter , and we know that ways to select r unordered elements from a set with n elements with repetition is given by $C$(n+r-1,r) Here we need to select 12 donuts from 21 varieties of donuts available Hence number of ways is given by $C$(21+12-1,12) = $C$(32,12) = 225792840 ways
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