Rework problem $8$ from section $1\mathrm{.}4$ of your text, involving a product code. Assume that X$=\{$A$,$E$,$F$,$D$,$G$\}$X$=\{$A$,$E$,$F$,$D$,$G$\}$ and Y$=\{1,5,3,7,4,6\}$Y$=\{1,5,3,7,4,6\}.$ A code consists of $2$ different symbols selected from XX followed by $2$

ot necessarily different symbols from YY$.$ How many different codes are possible?