Library / /432 of 475

, 2001

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

Five points are located on a line. When the ten distances between pairs of points are listed from smallest to largest, the list reads: $2, 4, 5, 7, 8, k, 13, 15, 17, 19$ . What is the value of $k$ ?

(A) $11$ (B) $9$ (C) $13$ (D) $10$ (E) $12$

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.