Mathematics Homework Solutions
#25320
Induction Proof : Strings of Digits
If n >= 1, the number of strings using the digits 0,1, and 2 with no two consecutive places holding the same digit, is 3x2^n-1. For example, there are 12 such strings of length three: 010, 012, 020, 021, 101, 102, 120, 121, 201, 202, 210, and 212.
Prove this claim by induction on the length of the strings. Is the formula true for n=0?
An Induction Proof for Strings of Digits is provided. The solution is complete.
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