Final answer:
The number of different nucleotide sequences that can encode the tri-peptide VAL-GLY-ARG is 96, which is not listed among the provided options.
Correct option is not listed in options.
Step-by-step explanation:
The question is asking how many different nucleotide sequences can encode the tri-peptide sequence VAL-GLY-ARG. To compute this, we need to know how many codons (sets of three nucleotides) can specify each of these amino acids.
Valine (VAL) can be encoded by four different codons, Glycine (GLY) by four as well, and Arginine (ARG) by six. To find the total number of different nucleotide sequences for the tri-peptide, we multiply the number of codons for each amino acid:
VAL: 4 codons
GLY: 4 codons
ARG: 6 codons
The calculation is as follows: 4 (VAL) x 4 (GLY) x 6 (ARG) = 96 different nucleotide sequences.
Therefore, the correct option is not listed among the provided choices (a) 6, (b) 9, (c) 12, (d) 18, as the actual number of sequences is 96.