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# I can get the total number of combinations, but the fastest

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Intern
Joined: 05 Jul 2006
Posts: 19
Location: NY
I can get the total number of combinations, but the fastest  [#permalink]

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16 Aug 2008, 22:07
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I can get the total number of combinations, but the fastest way to change it to the answer format...

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 26 letter of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

2(26^5)

26(26^4)

27(26^4)

26(26^5)

27(26^5)

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Director
Joined: 27 May 2008
Posts: 530

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16 Aug 2008, 22:12
konclen wrote:
I can get the total number of combinations, but the fastest way to change it to the answer format...

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 26 letter of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

2(26^5)

26(26^4)

27(26^4)

26(26^5)

27(26^5)

fastest way...

i think there is only one way ..just take 26^4 common...

26^4 + 26^5
= 26^4(1+26)
=27(26^4) option C
Intern
Joined: 05 Jul 2006
Posts: 19
Location: NY

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16 Aug 2008, 22:53
I actually approached the problem differently, albeit less efficiently =)

Thank you.
SVP
Joined: 29 Aug 2007
Posts: 2419

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17 Aug 2008, 00:39
konclen wrote:
I can get the total number of combinations, but the fastest way to change it to the answer format...

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 26 letter of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

2(26^5)

26(26^4)

27(26^4)

26(26^5)

27(26^5)

Since repetation is allwoed, total codes = 26^4 + 26^5 = 26^4 (1+26) = 27 (26^4)

--== 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.

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Re: PS - Combination &nbs [#permalink] 17 Aug 2008, 00:39
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