Question

if the are three pairs of homologous chromosomes before mitosis, then how many homologous pairs are three in the two daughter cells following mitosis

Answer 1

There will be 3, because after the process of mitosis, the two daughter cells will be identical to the cell before.

Answer 2

I'm assuming that you mean 'there'. Each daughter cell will have 3 pairs because the number of chromosomes and everything else will be identical to the first cell.