Track / Stage 2 / 12 of 320 #332 of 2604

Problem 332

Combinatorics Difficulty 2.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2006

Bethany, Chun, Dominic, and Emily go to the movies. They choose a row with four consecutive empty seats. If Dominic and Emily must sit beside each other, in how many different ways can the four friends sit?

(A) $6$ (B) $5$ (C) $12$ (D) $30$ (E) $3$

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.

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.