Why it does not belong to position isomerism
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No. This is not possible.
Please refer to the definitions of both the phenomenon.
In order to be called as chain isomers, the said compounds must have same molecular formula, same position of functional group but different carbon chain lengths, whereas, for the compounds to be position isomers, they must have same molecular formula, same carbon chain length but different position of functional group.
Hence, a set of compounds cannot be chain as well as position isomers at the same time.
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