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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?

1 Answer

3 votes

Answer:

There won't be enough arrangement

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

User Sabuz
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