The force of attraction between particles is known as intermolecular forces. The strength of intermolecular forces generally increases as the molecular weight or complexity of the molecule increases.

In this case, the order of increasing force of attraction between particles is:

1) Oxygen (O2)

2) Water (H2O)

3) Sugar (C12H22O11)

Oxygen is a relatively small, non-polar molecule with weak intermolecular forces, mainly London dispersion forces. Water is a polar molecule with stronger intermolecular forces due to hydrogen bonding. Sugar is a large, complex molecule with the strongest intermolecular forces, including hydrogen bonding, dipole-dipole interactions, and London dispersion forces.