1977 AHSME Problems/Problem 20

Revision as of 15:09, 19 June 2021 by Aopspandy (talk | contribs) (Created page with "==Problem== <math>\begin{tabular}{ccccccccccccc}& & & & & & C & & & & & &\\ & & & & & C & O & C & & & & &\\ & & & & C & O & N & O & C & & & &\\ & & & C & O & N & T & N & O...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

$\begin{tabular}{ccccccccccccc}& & & & & & C & & & & & &\\  & & & & & C & O & C & & & & &\\  & & & & C & O & N & O & C & & & &\\  & & & C & O & N & T & N & O & C & & &\\  & & C & O & N & T & E & T & N & O & C & &\\  & C & O & N & T & E & S & E & T & N & O & C &\\  C & O & N & T & E & S & T & S & E & T & N & O & C \end{tabular}$


For how many paths consisting of a sequence of horizontal and/or vertical line segments, with each segment connecting a pair of adjacent letters in the diagram above, is the word CONTEST spelled out as the path is traversed from beginning to end?

$\textbf{(A) }63\qquad \textbf{(B) }128\qquad \textbf{(C) }129\qquad \textbf{(D) }255\qquad  \textbf{(E) }\text{none of these}$

Solution