All of the bonds on a certain exchange are designated by a 3-letter, 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 bonds that can be designate with these codes?  Choose the correct option.
A) 26(26^3 + 26^4) B) 26(26^3 + 26^5) C) 27(26^3 + 26^5) D) 27(26^3) + 26^5 E) 26^3 + 27(26^5)
3-letter codes = 26^3;   4-letter codes = 26^4;   5-letter codes = 26^5;   Total = 26^3 + 26^4 + 26^5 = 26^3(1+26) + 26^5 = 26^3*27 + 26^5.   Answer: 27(26^3) + 26^5.
<result>D</result>
All of the bonds on a certain exchange are designated by a 3-letter, 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 bonds that can be designate with these codes?