Respuesta :
the pattern with three numbers followed by four letters have the most plates
Ex[planation:letters from A to Z = 26
Numbers from 0 to 9 = 10
There 7 digits plate numbers that consists of three letters:
[tex]\begin{gathered} \text{For thr}ee\text{ }letters\text{ }followed\text{ }by\text{ four numbers:} \\ =\text{ l}etters\times\text{ l}etters\times\text{ l}etters\times\text{numbers}\times\text{numbers}\times\text{numbers}\times\text{numbers} \\ possible\text{ number of plates }=\text{ 26 }\times26\text{ }\times\text{ 26 }\times\text{ 10 }\times10\text{ }\times\text{ 10 }\times\text{ 10} \\ =\text{ 175760000} \end{gathered}[/tex][tex]\begin{gathered} \text{For thre}e\text{ numbers followed by four letters:} \\ =\text{ numbers}\times\text{numbers}\times\text{numbers}\times\text{letters}\times\text{letters}\times\text{letters}\times\text{letters} \\ \text{possible plate numbers = 10 }\times\text{ 10 }\times\text{ 10 }\times\text{ 26 }\times26\text{ }\times\text{ 26 }\times26 \\ =\text{ }456976000 \end{gathered}[/tex]The pattern with three numbers followed by four letters have a higher possible number of plates than three letters followed by four numbers.
Hence, the pattern with three numbers followed by four letters have the most plates
