GMAT prep - maximum numbers of different stocks

auntsom

All of stocks on over-the-counter market are designated by either a 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 number of different stocks that can be designated with these codes?

1. 2(26^5)
2. 26(26^4)
3. 27(26^4)
4. 26(26^5)
5. 27(26^5)

evansbd · Posted: Mon Jul 21, 2008 9:34 am Post subject: Earlier Thread

http://www.beatthegmat.com/gmat-prep-stocks-t6385.html#25107

sudhir3127 · Posted: Mon Jul 21, 2008 9:37 am Post subject:

My answer is C

here it goes..

for 4 letter code its 26^4
5 letter code its 26^5

the maximum ways is 26^4+26^5

26^4+ 26^4*26

26^4(26+1)

hence 27(26^4)