Maths Olympiad Prep

Library / /249 of 356

, 2008

Combinatorics Difficulty 2.0 Junior Find the answer Canada

There are 2424 ways in which Beverly, Dianne, Ethan, and Jamaal can arrange themselves to sit in a row of four seats. In how many ways can Beverly, Dianne, Ethan, and Jamaal arrange themselves in a row of four seats so that Ethan does not sit beside Dianne?

(A) 1818 (B) 1212 (C) 2121 (D) 66 (E) 1515

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.