# Car licence plate

• Nov 6th 2009, 10:53 PM
turboman
Car licence plate
Dear All,

A Cook Island car licence plate has two letters followed by a hyphen and then three digits.

a. How many possible plates could be generated?

b. How many plates could begin with the letter P followed by a T?

Cheers(Crying)
• Nov 6th 2009, 11:25 PM
Debsta
1000.
pt000,pt001,pt002,...,pt999.
Are you sure that's the question?? Seems too easy??
• Nov 7th 2009, 12:26 AM
turboman
Quote:

Originally Posted by Debsta
1000.
pt000,pt001,pt002,...,pt999.
Are you sure that's the question?? Seems too easy??

Yes, but how to do the part b?
• Nov 7th 2009, 01:29 AM
Debsta
That's what I did???
• Nov 7th 2009, 01:45 AM
turboman
Quote:

Originally Posted by Debsta
That's what I did???

Your answer for part b is 1000? Could you tell me why?
• Nov 7th 2009, 01:47 AM
harbottle
Quote:

Originally Posted by turboman
Your answer for part b is 1000? Could you tell me why?

He listed all the possibilities there. Another way to see it is that because you've locked the first two positions, the # of possibilities is 676,000 / 676 = 1000
• Nov 7th 2009, 01:52 AM
turboman
Quote:

Originally Posted by harbottle
He listed all the possibilities there. Another way to see it is that because you've locked the first two positions, the # of possibilities is 676,000 / 676 = 1000

Cheers,
• Nov 7th 2009, 01:59 AM
Debsta
There's only one choice for the first letter (because it has to be a P), there is only one choice for the second letter because it has to be a T, there are 10 choices for the first digit, 10 choices for the second digit and 10 choices for the third digit. Multiply these all together 1x1x10x10x10 =1000.
• Nov 7th 2009, 02:04 AM
mr fantastic
Quote:

Originally Posted by turboman