A Group Technology $($GT$)$ production facility uses $5$ machines $($A$-$E$)$ to process $6$ parts $(1-6)$ as shown in the table below. Order the part$-$machine matrix using the binary ordering algorithm. Comment on the result.

$\backslash$table$[[,$part$],[$machine$,1,2,3,4,5,6],[A,-,1,-,1,-,-],[B,1,-,1,-,1,1],[C,-,1,1,1,-,1],[D,1,-,-,-,1,1],[E,-,-,-,1,1,-]]$