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MathNet 2022-part-04 — 197 problems (EN–VI) Question 48

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 48

How many five-digit numbers containing each of the digits $1,2,3,4,5$ exactly once are divisible by $24$?
(a) 8
(b) 10
(c) 12
(d) 20