Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2017-part-05 — 176 problems (EN–VI) Question 2

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

Question 2

Consider the set $A$ of positive 3-digit integers $abc$ consisting of three consecutive, not necessarily ordered, digits.

a) Determine the cardinal of the set $A$.

b) Prove that for any choice of some elements of the set $A$, the sum of the chosen elements cannot equal 2017.