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

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Intern
Joined: 04 Sep 2009
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All of the stocks on the over-the-counter are designated by [#permalink]

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23 Sep 2009, 19:59
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Question Stats:

100% (03:47) correct 0% (00:00) wrong based on 4 sessions

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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
Joined: 23 Sep 2009
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24 Sep 2009, 01:47
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)

Re: Combinatory   [#permalink] 24 Sep 2009, 01:47
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