Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 33RE: How many ways are there to construct a 4-digit code if numbers can be repeated?
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Question
How many bit strings of length 8 start with 10 or end with 01?
Expert Solution
Step 1
As said let's starts with 10 or ends in 01 as meaning that bit strings that satisfy both conditions qualify.
By your correct analysis, there are 26 bit strings that start with 10.
Similarly, there are 26 bit strings that end with 01.
The sum 26 +26 double-counts the bit strings that start with 10 and end with 01.
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