Question

The transportation department predicts that about 800,000 cars will be registered in a certain state by year 2012. Their license plates are made using and two letters followed by and three digits from 0 to 9. Will there be enough possible arrangements?

Answer 1

Answer:

There won't be enough arrangement

Step-by-step explanation:

Given

$Letters = 2$

$Digits= 3$

$Cars = 800000$

Required

Determine if the possible arrangement will be enough

The 2 letters can be selected from any of the 26 alphabets without restriction.

So, the selection of letters is:

$Letters = 26 * 26$

The 3 digits can be selected from any of the 10 digits without restriction.

So, the selection of digits is:

$Digits = 10*10*10$

The total arrangement is:

$Total = Letters * Digits$

$Total = 26*26*10*10*10$

$Total = 676000$

By comparison:

$Total < Cars$

i.e.

$676000 < 800000$

Hence, the arrangement will not be enough