P1 Cono Sur 2021 - Guarani Numbers
Source: Cono Sur 2021 #1
December 1, 2021
combinatorycounting
Problem Statement
We say that a positive integer is guarani if the sum of the number with its reverse is a number that only has odd digits. For example, and are guarani, since and .
a) How many -digit numbers are guarani?
b) How many -digit numbers are guarani?