olymmath

HMMT November 2017 U4

  • Guts
  • Answer

Alec wishes to construct a string of 6 letters using the letters A, C, G, and N, such that:

  • The first three letters are pairwise distinct, and so are the last three letters;
  • The first, second, fourth, and fifth letters are pairwise distinct.

In how many ways can he construct the string?

Dataset text NuminaMath olympiads. Quoted with source.

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96

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