MathDB
2016 Discrete #5

Source:

August 10, 2022
2016Discrete Math Test

Problem Statement

ABCDABCD is a four digit number (A0A\neq0) such that both ABCABC and BCDBCD are divisible by 99 (ABCDABCD is not necessarily divisible by 99, and B,C,DB,C,D may be 00). Compute the number of four digit numbers satisfying this property.