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# Permutation/Combination Problem

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Intern
Joined: 17 Oct 2008
Posts: 4

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17 Oct 2008, 17:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Here's a problem which is bugging me . Need your help guys to solve this:

A certain stock exchange designates each stock with a one-, two- or three-letter code, where each letter is selected from the 26 letter alphabet. If the letters may be repeated and the same letter used in different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?
- 2,951
- 8,125
- 15,600
- 16,302
- 18,278

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Senior Manager
Joined: 04 Aug 2008
Posts: 372

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17 Oct 2008, 17:53
aray wrote:
Here's a problem which is bugging me . Need your help guys to solve this:

A certain stock exchange designates each stock with a one-, two- or three-letter code, where each letter is selected from the 26 letter alphabet. If the letters may be repeated and the same letter used in different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?
- 2,951
- 8,125
- 15,600
- 16,302
- 18,278

first set of codes
26 one place
second 26*26 two places
third
three places 26*26*26

total 18278

E

whats the source of this q if i may ask
_________________

The one who flies is worthy. The one who is worthy flies. The one who doesn't fly isn't worthy

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Intern
Joined: 17 Oct 2008
Posts: 4

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17 Oct 2008, 18:19
Thanks so much!!

Source is GMAT Pearson Test.

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Re: Permutation/Combination Problem   [#permalink] 17 Oct 2008, 18:19
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