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MathNet 2022-part-03 — 197 problems (EN–VI) Question 185

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 185

When you add the digits of the number $2022$, you get $6$.
How many $4$-digit numbers are there (including $2022$) such that, when you add the digits, you get $6$? The numbers are not allowed to start with the digit $0$.
A) $40$ B) $45$ C) $50$ D) $55$ E) $56$