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# Plz help me with this PS prob

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Intern
Joined: 24 Jun 2009
Posts: 35
Plz help me with this PS prob [#permalink]

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24 Jun 2009, 07:31
00:00

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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All of the stock on over-the-counter market are designated by either a 4-letter or 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)

thanks

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Current Student
Joined: 03 Aug 2006
Posts: 112
Re: Plz help me with this PS prob [#permalink]

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24 Jun 2009, 09:32

$$\text {No of 4 letter codes} = 26\times 26\times 26\times 26 = 26^4$$

$$\text {No of 5 letter codes} = 26\times 26\times 26\times 26\times 26= 26^5$$

$$\text {Total number of codes} = 26^4 + 26^5 = 26^4 (1+26)= 26^4 (27)$$

See the post below that has a similar problem.

http://gmatclub.com/forum/permutations-s-79747.html

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Plz help me with this PS prob   [#permalink] 24 Jun 2009, 09:32
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# Plz help me with this PS prob

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