Answered: 7. This problem concerns 4-letter codes…

7. This problem concerns 4-letter codes made from the letters A, B, C, D, ..., Z. (a) How many such codes can be made? (b) How many such codes have no two consecutive letters 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

7. This problem concerns 4-letter codes made from the letters A, B, C, D, ..., Z.
(a) How many such codes can be made?
(b) How many such codes have no two consecutive letters the same?

Expert Solution

Step 1

The multiplication principle states that if an event A can occur in x different ways and another event B can occur in y different ways, then there are $x \times y$ ways of occurrence of both the events simultaneously.

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