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MathNet 2017-part-05 — 176 problems (EN–VI) Question 27

Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)

Question 27

Determine the number of positive integers, which written in base 10, satisfy the following conditions simultaneously:
(i) they are 6-digit numbers;
(ii) the product of their non-zero digits is 84;
(iii) four of their digits are 2, 0, 1, 7.