#### 110Question: A DNA sequence of length 7 is composed of nucleotides A, T, C, and G. What is the remainder when the total number of possible sequences is divided by 9?

Mon, 04 May 2026 13:34:33 +0000

### 110Question: A DNA sequence of length 7 is composed of nucleotides A, T, C, and G. What is the remainder when the total number of possible sequences is divided by 9? Curious minds are increasingly exploring the number of possible DNA combinations — and a simple math problem reveals a fascinating pattern. This sequence, each position filled with one of four nucleotides, offers a window into how vast genetic diversity arises despite massive biological constraints. As interest in genomics grows, so does the public’s fascination with the underlying mechanics, including how molecular combinations translate into measurable data. When calculating the total number of unique 7-nucleotide sequences, each position independently holds 4 possible bases: A, T, C, or G. With 7 positions, the total number of sequences equals 4⁷. Computing this gives 4 × 4 × 4 × 4 × 4 × 4 × 4 = 16,384. But why does this number matter beyond abstract science? The value 16,384 carries a hidden mathematical insight. Dividing 16,384 by 9 reveals not just a number, but a consistent pattern tied to modular arithmetic. The remainder when 16,384 is divided by 9 offers clarity in understanding combinatorial limits and has subtle applications in bioinformatics data coding, error checking, and algorithmic modeling. Awareness of such numbers empowers informed readers exploring genomic datasets or digital health trends.