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MathNet 2009-part-05 — 172 problems (EN–VI) Question 35

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 35

How many ordered quadruples $(a, b, c, d)$ of four distinct numbers chosen from the set $\{1,2,3, \ldots, 9\}$ satisfy $b\lt a$, $b\lt c$, and $d\lt c$?