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maximum number of di¤erent bonds

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by venmic » Wed Nov 30, 2011 4:24 pm
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 di¤erent bonds that can be designated
with these codes?


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)


Please advice
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Source: — Problem Solving |

by shankar.ashwin » Wed Nov 30, 2011 7:48 pm
3 letter bond - 26*26*26 = 26^3
4 letter bond - 26^4
5 letter bond - 26^5

Together, we add - 26^3+26^4+26^5 = 26^3* ( 1 + 26 + 26^2)

= 26^3 * ( 27 + 26^2) -> (27*26^3) + 26^5 D IMO
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