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The three people can be represented by letters S, M, T for small, medium, tall.

These letters can be arranged in 6 different ways one of which is TMS. So the probability is 1/6.

Merely comparing their heights in line we still have 6 possible outcomes:

For 3 people A, B and C:

  1. A>B>C
  2. A>B<C, and A>C
  3. A<B>C, and A>C
  4. A>B<C, and A<C
  5. A<B>C, and A<C
  6. A<B<C
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