HMMT November 2017 H6
- Theme
- Answer
Rthea, a distant planet, is home to creatures whose DNA consists of two (distinguishable) strands of bases with a fixed orientation. Each base is one of the letters H, M, N, T, and each strand consists of a sequence of five bases, thus forming five pairs. Due to the chemical properties of the bases, each pair must consist of distinct bases. Also, the bases H and M cannot appear next to each other on the same strand; the same is true for N and T . How many possible DNA sequences are there on Rthea?
Dataset text NuminaMath olympiads. Quoted with source.
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