Consitutional isomers are compounds that have the same molecular formula but a different atom-to-atom bonding sequence. As shown by the examples of consitutional isomers of C
6H
12O, they have may have
different carbon skeletons
different positions of functional group
different functional groups

The
number of different constitutional isomers possible for a specified molecular formula
(a) the
number of different possible
arrangements of that number of
carbons(b) the
number of different possible
positions for a
functional group on each of the carbon skeletons
For a six-carbon linear chain, there are only
two ketones having the formula C
6H
12O.
These are shown above.
This is because of the symmetry of the chain shown in the image.
For the five-carbon chain with a one methyl branch, there is only one C
6H
12O ketone.
The structure for this is shown above.
This is because the C=O must be in the middle of the chain and two H on a carbon.
For a six-carbon linear chain there is only
one possible C
6H
12O
aldehyde.
This is because -CHO must be at the end of the chain.
For the five-carbon chain with one branch, there are
two possible C
6H
12O
aldehydes.
This is because because the pink carbon is not equivalent to the two red carbons because they are bonded to different groups.