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# A license plate consists of a combination of 6 digits or letters. All

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Re: A license plate consists of a combination of 6 digits or letters. All  [#permalink]

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17 Oct 2016, 12:51
1
Hi NaeemHasan,

There might be some 'regional bias' in this question (especially if you've never seen a license plate before), but a license plate is essentially just a unique 'identifier' for a vehicle. Since the prompt does NOT state that there are any restrictions on 'where' a number or letter can be placed, we have to assume that each number and each letter can appear ANYWHERE and can ALSO REPEAT.

So, the first few license plates would be...
000000
000001
000002
000003
Etc.

And the last few license plates would be...
ZZZZZZ
ZZZZZY
ZZZZZX
Etc.

In this way, each of the 6 "spots" on the license plate could hold ANY of the 36 options (the 10 digits and 26 letters) and placing a number or letter in a 'spot' has NO effect on what can be placed in the other 'spots.' This means that we have 36^6 possible license plates.

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Rich
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Re: A license plate consists of a combination of 6 digits or letters. All  [#permalink]

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29 Mar 2018, 02:48
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A license plate consists of a combination of 6 digits or letters. All   [#permalink] 29 Mar 2018, 02:48

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