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All of the stocks on the over-the-counter market are designa

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All of the stocks on the over-the-counter market are designa [#permalink] New post 15 Dec 2011, 17:58
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All of the stocks on the over-the-counter market are designated by either a 4-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

a. 2(26^5)
b. 26(26^4)
c. 27(26^4)
d. 26(26^5)
e. 27(26^5)

OPEN DISCUSSION OF THIS QUESTION IS HERE: all-of-the-stocks-on-the-over-the-counter-market-are-126630.html
[Reveal] Spoiler: OA
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Re: All of the stocks on the over-the-counter market are designa [#permalink] New post 15 Dec 2011, 18:10
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no of different stocks for 4-letter code = 26^4
no of different stocks for 4-letter code = 26^5

total = 26^4 + 26^5 = 26^4(26+1) = 27(26^4)


[Reveal] Spoiler:
Option C
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Re: All of the stocks on the over-the-counter market are designa [#permalink] New post 26 Dec 2014, 09:42
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Re: All of the stocks on the over-the-counter market are designa [#permalink] New post 26 Dec 2014, 10:03
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ashiima wrote:
All of the stocks on the over-the-counter market are designated by either a 4-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

a. 2(26^5)
b. 26(26^4)
c. 27(26^4)
d. 26(26^5)
e. 27(26^5)

OPEN DISCUSSION OF THIS QUESTION IS HERE: all-of-the-stocks-on-the-over-the-counter-market-are-126630.html



In 4-digit code {XXXX} each digit can take 26 values (as there are 26 letters), so total # of 4-digits code possible is 26^4;

The same for 5-digit code {XXXXX} again each digit can take 26 values (26 letters), so total # of 5-digits code possible is 26^5;

Total: \(26^4+26^5=26^4(1+26)=27*26^4\).

Answer: C.

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OPEN DISCUSSION OF THIS QUESTION IS HERE: all-of-the-stocks-on-the-over-the-counter-market-are-126630.html
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Re: All of the stocks on the over-the-counter market are designa   [#permalink] 26 Dec 2014, 10:03
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