Answered: compute the number of sequences formed…

compute the number of sequences formed from 3 a's, 5 b's, and 8 c's. a) that have no consecutive b's b) that have no consecutive symbols the same

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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Question

compute the number of sequences formed from 3 a's, 5 b's, and 8 c's.

a) that have no consecutive b's

b) that have no consecutive symbols the same

The textbook solution is a) C(12,5)11!/(8!3!) b) 2C(8,3)+14C(6,4)

I think I understand how to get a, I am just a bit confused on where the 11!/(8!3!)) comes from exactly. I am super lost on b. Thanks!

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