How many pairs of chromosomes exist in each of your cells?

23 chromosome pairs.

Explanation:

In humans, the DNA strands are packaged in a tightly coiled 1400 nm structure called the chromosomes. Since each cell contains the DNA therefore each cell contains the chromosomes.

The human genome is packaged into 46 linear chromosomes but since the humans are diploid organisms, therefore, the chromosomes form pairs with the homologous chromosomes and form 23 pairs of chromosomes. Every cell of humans possesses 23 pairs of chromosomes.

Thus, 23 pair of chromosomes is correct.