Library / /260 of 356

, 2000

Combinatorics Difficulty 2.0 Junior Find the answer Canada

In a basketball shooting competition, each competitor shoots ten balls which are numbered from $1$ to $10$ . The number of points earned for each successful shot is equal to the number on the ball. If a competitor misses exactly two shots, which one of the following scores is not possible?

(A) $52$ (B) $44$ (C) $41$ (D) $38$ (E) $35$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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