$5.$ Hexadecimal numbers are m$5.$ Hexadecimal numbers are made using the sixteen hexadecimal digits $0,1,2,3,4,5,6,7,8,9,$

A$,$ B$,$ C$,$ D$,$ E$,$ F and are denoted using the subscript $16.$ For example, $9$A$2$D$16$ and BC$5416$ are

hexadecimal numbers.ade using the sixteen hexadecimal digits How many hexadecimal numbers begin with one of the digits $4$ through D$,$ end with one of the

digits $2$ through E$,$ and are $6$ digits long?

$0,1,2,3,4,5,6,7,8,9,$

A$,$ B$,$ C$,$ D$,$ E$,$ F and are denoted using the subscript $16.$ For example, $9$A$2$D$16$ and BC$5416$ are

hexadecimal numbers.