HMMT 2017 C5
- Combinatorics
- Answer
Kelvin the Frog likes numbers whose digits strictly decrease, but numbers that violate this condition in at most one place are good enough. In other words, if denotes the th digit, then for at most one value of . For example, Kelvin likes the numbers 43210, 132, and 3, but not the numbers 1337 and 123. How many 5-digit numbers does Kelvin like?
Dataset text NuminaMath olympiads. Quoted with source.
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14034
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