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GmatPrep1?? (4 letter or 5 letter)

Expert replies
Source: — Problem Solving |

by lvincy » Thu Sep 04, 2008 9:17 am
4 Character = 26X26X26X26 = 26^4
+
5 Character = 26X26X26X26X26= 26^5

=
26^4(26+1)
= 27(26^4)
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by parallel_chase » Thu Sep 04, 2008 9:18 am
this is a permutation problem.

26 letters

4 letter code - 26*26*26*26 = 26^4

5 letter code - 26*26*26*26*26 = 26^5


total permutations = 26^4 + 26^5 = 26^4 (1+26)

=> (27) 26^4

Hope its clear.
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