HMMT November 2017 U23
- Guts
- Answer
A string of digits is defined to be similar to another string of digits if it can be obtained by reversing some contiguous substring of the original string. For example, the strings 101 and 110 are similar, but the strings 3443 and 4334 are not. (Note that a string is always similar to itself.) Consider the string of digits
consisting of the digits from 0 to 9 repeated five times. How many distinct strings are similar to ?
Dataset text NuminaMath olympiads. Quoted with source.
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