To assess which of the mutations might be the most dangerous to a cell, we can analyze the impact of each type of mutation:
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Substitution of one nucleotide for another: This type of mutation can lead to a silent mutation (no change in the amino acid), a missense mutation (change in one amino acid), or a nonsense mutation (creation of a stop codon). The impact varies, but it is generally less catastrophic than a frameshift mutation.
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Deletion of three nucleotides: This deletion removes a complete codon, which means that one amino acid would be missing from the protein. While this could affect protein function, it does not change the reading frame of the mRNA.
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Deletion of one nucleotide: This causes a frameshift mutation, altering the reading frame of the mRNA downstream of the deletion. This type of mutation typically has more severe consequences because it can lead to the production of a completely different and usually nonfunctional protein, as well as premature stop codons.
Given these analyses, the deletion of one nucleotide would likely be the most dangerous to a cell, as it can result in extensive changes to the protein's structure and function due to the frameshift effect.