One carbon–––––––––––––:− One carbon does not really form chains, So, there is no chain or position isomerism,
CH4 (methane) has one carbon.
Two carbons––––––––––––––:− Two carbon form a chain, but there is only one way to form this chain, so no isomerism as well.
CH3−CH3 (ethane) has two carbons.
Three carbons––––––––––––––––:− One carbon has to be in the middle and the other two at the ends, so only one possible chain, no isomerism.
CH3−CH2−CH3 (propane) has three carbons.
Four carbons–––––––––––––––:− One carbon has to be in the middle, two at the ends, but the fourth carbon could be in the middle (forming isobutane) or at the end (forming n− butane), so there is a chain as well as position isomerism.
See the figure.
So the minimum numbers of carbon are 4.