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MathNet 2016-part-02 — 184 problems (EN–VI) Question 104

Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)

Question 104

The PIN of Eugenia's phone consists of 4 digits; Eugenia only remembers that the first is between 0 and 6, the second between 0 and 3, the third between 0 and 4, the fourth between 0 and 2, and that the sum of the four digits is at least 8 (for example, the PIN could be 3330). How many codes are compatible with Eugenia's memories?