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# All stocks on over the counter medication is designtaed by

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Director
Joined: 01 Jan 2008
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All stocks on over the counter medication is designtaed by [#permalink]  28 Mar 2008, 22:03
All stocks on over the counter medication is designtaed by either 4 or 5 letter code created by using 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated using these codes.

A) 2(26 ^5)
B)26(26^4)
C)27(26^4)
D)26(26^5)
E)27(26^5)
Current Student
Joined: 01 Apr 2008
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Schools: Chicago Booth '11
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Re: GMAT PREP Problem : Stock Codes [#permalink]  03 May 2008, 11:33
Can you please explain the mathematical concept that would allow us to know that 26^4 + 26^5 = 27(26^4)?

Sorry if this seems obvious; I feel brain-dead after this morning's test.
Senior Manager
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Re: GMAT PREP Problem : Stock Codes [#permalink]  03 May 2008, 16:40
26^4 + 26^5 = 27(26^4)?

26^5 = 26^4 * 26

plug that in

26^4 + 26^4 * 26 = 26^4 * (1 + 26) = 27 * 26^4
Re: GMAT PREP Problem : Stock Codes   [#permalink] 03 May 2008, 16:40
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# All stocks on over the counter medication is designtaed by

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