The common characteristic between active and Faciliated diffusion is that they use carrier protein in their transport.
Active transport is that type of diffusion in which molecules of the solution moves against the concentration gradient, which require energy in the form of ATP and and requirement of a carrier protein, usually a transmembrane protein for their transport.
Faciliated diffusion requires a carrier protein but not energy because the molecules move along the concentration gradient.
A Faciliated diffusion differs from passive diffusion in requirement of carrier protein, for their transport of molecules, as in passive diffusion no carrier protein is required. The diffusion takes place without energy requirement.
Osmosis is a part of passive transport, where the molecules move from their higher region concentration to lower concentration through a semi permeable membrane.
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