The Diagram Shows the Roads Connecting Four Cities $\mathrm{A}^{2}$ What Information Is Given by the Entry in Row

Multiple Choice

The diagram shows the roads connecting four cities.
The matrix A below represents the number of routes between each pair of cities without passing through another city.
Calculate $\mathrm{A}^{2}$ . What information is given by the entry in row 3, column 2 of $\mathrm{A}^{2}$ ?

A) There are 2 ways to travel between cities $Y$ and $X$ without passing through another city
B) There are 4 ways to travel between cities $Y$ and $X$ by passing through two cities
C) There are 2 ways to travel between cities $Y$ and $X$ by passing through at most one city
D) There are 4 ways to travel between cities $Y$ and $X$ by passing through one city