How many bit strings of length 6 will there which has either 11 at the start or 11 at the end?
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6 only
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Similarly, there are 26 bit strings that end with 01. The sum 27+26 double-counts the bit strings that start with 1 and end with 01. There are 25 of these, so there are 27+26−25 bit strings that start with 1 or end with 01.
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