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#combinatorial biology

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How many DNA molecules of 6 base pairs length are possible where the first base is a purine and the last base is a pyrim

The principle of nucleic acid structure and recombination explains that hairpin formation, Holliday junction resolution and translation control ensure fidelity. Hence 1024 fits best because it matches molecular mechanisms of gene expression, as documented in authoritative sources on molecular biology.

Ref: Alberts et al., Molecular Biology of the Cell, 6th Edition, Chapter 5, DNA Replication and Repair, discusses Holliday junction formation during homologous recombination and replication fork dynamics ensuring genome duplication and stability.