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5-digit integers not multiples of 11 and whose digits are 1, 3, 4, 7,

Source: Singapore Junior Math Olympiad 2010 2nd Round p2 SMO

March 26, 2020
Digitmultiplenumber theory

Problem Statement

Find the sum of all the 55-digit integers which are not multiples of 1111 and whose digits are 1,3,4,7,91, 3, 4, 7, 9.