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?

There won't be enough arrangement

Step-by-step explanation:

Given

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:

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

So, the selection of digits is:

The total arrangement is:

By comparison:

i.e.

Hence, the arrangement will not be enough

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: