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# Manhattan GMAT problem for 12/8/2003

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Manager
Joined: 06 Jun 2003
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Manhattan GMAT problem for 12/8/2003 [#permalink]  08 Dec 2003, 07:38
Any thoughts?
Senior Manager
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Is it 1/50 ?
Manager
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I am not able to figure this one out, can you explain your solution?
Senior Manager
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bluefox420 wrote:
I am not able to figure this one out, can you explain your solution?

We totally have 4 digits followed by 2 letters. And the given license plate starts with 79 and it is a government vechicle. So, the possiblities are

1*1*10*10*3*3 = 900

In three hours the police can inspect only 18 vehicles as he takes 10 mins for each vehicle.

The answer should be 18/900 = 1/50
Director
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I got also 1/50 as an answer: First numbers are 79XX LL so for the numbers and the letters we have 10x10x3x3( repetitions for letters and numbers)which is900, so they have to check 900 cars, for 3 hours they can inspect 18 cars so prob is :18/900=1/50..IMO
Manager
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I was on the right track, for some reason I applied repetition to the numbers but not to the letters..
I think 1/50 is the correct answer - let's see if others have any comments.
Director
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I got the same answer using the same rationale. This seems unusually easy for a Manhattan problem, and thus gives me pause.

I wonder if I have forgotten something.
CEO
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Re: Manhattan GMAT problem for 12/8/2003 [#permalink]  08 Dec 2003, 10:56
bluefox420 wrote:
Any thoughts?

we know that its a government vehicle.

it can only have the letters ABC

total # of license plates possible for a government vehicle with starting letters 79...

favorable number of ways = 10 * 10 * 3 * 3 = 900

total # of cars the police can inspect =18 ( 6 per hour *3 =18)

required probability = 18/900 = 2/100 =1/50

thanks
praetorian
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1/50 [#permalink]  08 Dec 2003, 12:43
I agree - the answer is 1/50. The answer "seems" easy. Hopefully, we're right.
1/50   [#permalink] 08 Dec 2003, 12:43
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