Track / Stage 2 / 11 of 320 #331 of 2604

In how many ways can 101 be expressed as the sum of two integers, both greater than zero, with the second integer greater than the first?

(A) $50$ (B) $51$ (C) $101$ (D) $102$ (E) $25$

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.