MathDB
2022 B Individual #14

Source:

April 30, 2022
2022 B Individual

Problem Statement

Two truth tellers and two liars are positioned in a line, where every person is distinguishable. How many ways are there to position these four people such that everyone claims that all people directly adjacent to them are liars?
<spanclass=latexbold>(A)</span>4<spanclass=latexbold>(B)</span>6<spanclass=latexbold>(C)</span>8<spanclass=latexbold>(D)</span>12<spanclass=latexbold>(E)</span>16<span class='latex-bold'>(A) </span>4\qquad<span class='latex-bold'>(B) </span>6\qquad<span class='latex-bold'>(C) </span>8\qquad<span class='latex-bold'>(D) </span>12\qquad<span class='latex-bold'>(E) </span>16