All of the stocks on the over-the-counter market are designated by either a 6-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?
Choose the most appropriate option:  A) a. 2(26^5)  B) b. 26(26^4)  C) c. 27(26^4)  D) d. 26(26^5)  E) e. 27(26^5)
no of different stocks for 6-letter code = 26^6   no of different stocks for 5-letter code = 26^5   total = 26^6 + 26^5 = 26^5(26+1) = 27(26^5)   [Reveal]Spoiler:   Option e. 27(26^5)
<result>E</result>
All of the stocks on the over-the-counter market are designated by either a 6-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?