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Combinatorics 5.0/10

Palindromes and Seven

A four-digit palindrome is a number of the form $\overline{abba}$ with $a \neq 0$, such as 1221 or 7007. How many four-digit palindromes are divisible by 7? Give an integer.

Related problems & prerequisites

Worth solving first

Source: Original problem written for AxiomIQ.