Dear All,

Please help me to solve the following problem.

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?

My answer: 26x26x10x10x10 = 676,000

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

Could you please help me to do the part b?

Cheers

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

Yes, but how to do the part b?

That's what I did???

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

Thank you for your answer but I do not understand about your calculation. Could you tell me why?


Cheers,

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.

Count the favorable outcomes listed in post #2.

Thread closed.

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