1) A license plate has 3 letters and 3 digits in that order. : Quant Question Archive [LOCKED]
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# 1) A license plate has 3 letters and 3 digits in that order.

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1) A license plate has 3 letters and 3 digits in that order. [#permalink]

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05 Jan 2004, 12:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

1) A license plate has 3 letters and 3 digits in that order. A witness to a hit and run accident saw the first 2 letters and the last digit. If the letters and digits can be repeated, how many license plates must be checked by the police to find the culprit?
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05 Jan 2004, 12:49
Paul wrote:
26x10x10=2600

are you considering 4th and 5th mutually exclusive? for each value of 4th, there could be 10 possible values of 5th, or vice versa. isn't it?
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05 Jan 2004, 13:16
Paul...thanks for the answer...but can you please be more elaborate.
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05 Jan 2004, 13:19
Assuming that the witness remembers what he saw ...

out of 3 letters we know 2 so the third one can b =e any one of 26

out of 3 digits we know 1 ; the other two can each be any one of 10

So 26 * 10 * 10
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05 Jan 2004, 13:23
Since the first 2 letters are given, then you get 1/26 chances of getting a letter. Multiply that by 10 possible digits and another 10 possible digits for 4th and 5th missing digits. Yes, the events are mutually exclusive.
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05 Jan 2004, 13:41
I was thinking on some other line..anyway ..Thanks a bunch Paul...!
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05 Jan 2004, 13:41
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# 1) A license plate has 3 letters and 3 digits in that order.

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