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All of the stocks on the over-the-counter are designated by

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Intern
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Joined: 04 Sep 2009
Posts: 46
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All of the stocks on the over-the-counter are designated by [#permalink] New post 23 Sep 2009, 18:59
00:00
A
B
C
D
E

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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
All of the stocks on the over-the-counter are designated by either 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 numer of different stocks that can be designated with these codes?

a) 2(26^5)
b) 26(26^4)
c) 27(26^4)
e) 26(26^5)
e) 27(26^5)
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Intern
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Joined: 23 Sep 2009
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Re: Combinatory [#permalink] New post 24 Sep 2009, 00:47
Possible combinations of 4 letters from 26 alphabets is 26^4

Likewise, combinations of 5 letters from 26 alphabets is 26^5

Total combinations is:
26^4 + 26^5
= 26^4 + (26)26^4
= 26^4(1+26)
= 27(26^4)

Hence answer is C.
Re: Combinatory   [#permalink] 24 Sep 2009, 00:47
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All of the stocks on the over-the-counter are designated by

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