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All of the bonds on a certain exchange are designated by a 3

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Re: All of the bonds on a certain exchange are designated by a 3 [#permalink] New post 13 Apr 2013, 07:39
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rakeshd347 wrote:
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?

(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: D.

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Re: All of the bonds on a certain exchange are designated by a 3 [#permalink] New post 12 Feb 2014, 07:03
shouldn't the question mention if the alphabets can be repeated or not? OR do we need to deduce it from the question stem?
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Re: All of the bonds on a certain exchange are designated by a 3 [#permalink] New post 12 Feb 2014, 07:49
Expert's post
ankur1901 wrote:
shouldn't the question mention if the alphabets can be repeated or not? OR do we need to deduce it from the question stem?


If the codes were to be created by only distinct letters it would be mentioned.
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Re: All of the bonds on a certain exchange are designated by a 3   [#permalink] 12 Feb 2014, 07:49
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