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In a certain state, each license plate consists of either th

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MAged
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In a certain state, each license plate consists of either th [#permalink] New post   Updated on: 24 Sep 2018, 10:06
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In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all acceptable plates. How many different license plates can the state issue?

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2433600

Originally posted by MAged on 24 Sep 2018, 03:20.
Last edited by Carcass on 24 Sep 2018, 10:06, edited 2 times in total.
Edited by Carcass
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sandy
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Re: Question [#permalink] New post   24 Sep 2018, 08:06
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MAged wrote:
In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive)
followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and
AAA-70 are all acceptable plates. How many different license plates can the state issue?



So license plates can be:

There are 10 number and 26 letters. Each blank that can take a number has 10 option (0-9) and each blank that can take letters has 26 options (A-Z)

Looking at each case:

3 number 2 letters

number of combinations= 10×10×10×26×26=676000



2 number 3 letters

number of combinations= 10×10×26×26×26=1757600.

Adding the two cases:

Total combination=2433600.
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In a certain state, each license plate consists of either th [#permalink] New post   29 Mar 2019, 06:02
In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all Acceptable plates. How many different license plates can the state issue?
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Re: In a certain state, each license plate consists of either th [#permalink] New post   29 Mar 2019, 10:52
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Merged similar topic.

Please refer to the explanation above
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Re: In a certain state, each license plate consists of either th [#permalink] New post   04 Oct 2019, 11:27
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10X10X10X26X26 + 26X26X26X10X10
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Re: In a certain state, each license plate consists of either th [#permalink] New post   08 Feb 2021, 11:22
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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: In a certain state, each license plate consists of either th [#permalink]
08 Feb 2021, 11:22
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