Track / Stage 2 / 49 of 320 #369 of 2604

The sum of the digits of a five-digit positive integer is 2. (A five-digit integer cannot start with zero.) The number of such integers is

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

I solved it I didn't Skip

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.