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In State X, all vehicle license plates have 2 letters from

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In State X, all vehicle license plates have 2 letters from [#permalink] New post 07 Mar 2018, 15:25
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Question Stats:

90% (01:10) correct 9% (03:18) wrong based on 11 sessions
In State X, all vehicle license plates have 2 letters from the 26 letters of the alphabet followed by 3 one-digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?

A 23,400
B 60,840
C 67,600
D 608,400
E 676,000

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[Reveal] Spoiler: OA

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Re: In State X, all vehicle license plates have 2 letters from [#permalink] New post 07 Mar 2018, 19:40
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No math required. Almost. When we have multiple options for a series of decisions, we can multiply the number of options for each decision. In this case, the first two decisions are which letter to choose, and the last three decisions are which digit to choose. Since there are 26 letters, and 10 digits, and repetition is allowed, we can multiply as follows:

26x26x10x10x10 = ?

Advanced math students should know what 26 squared is, but we don't need to actually multiply these numbers to solve this problem. Whatever the number is, it must end in 3 zeros. Notice only one answer choice does so: E.
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Re: In State X, all vehicle license plates have 2 letters from [#permalink] New post 23 Jul 2018, 17:21
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Carcass wrote:
In State X, all vehicle license plates have 2 letters from the 26 letters of the alphabet followed by 3 one-digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?

A 23,400
B 60,840
C 67,600
D 608,400
E 676,000


The number of possible license plates is 26 x 26 x 10 x 10 x 10 = 676,000.

Answer: E
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Re: In State X, all vehicle license plates have 2 letters from   [#permalink] 23 Jul 2018, 17:21
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