A correct name for the following compound is: a. 1-Methylbicyclo[4.3.0]nonane b. 1-Methylbicyclo[4.3.1]nonane c. 2-Methylbicyclo[4.3.1]nonane d. 2-Methylbicyclo[4.3.0]nonane e. 7-Methylbicyclo[4.3.0]nonane

The correct name for the following compound is

2 - methylbicyclo[4.3.0]nonane

Explanation:

Rule 1

Numbering of bicyclic compound is done from bridgehead carbon

Rule 2

The system is numbered with one of the bridgeheads, numbering proceeding by the longest possible path to the second bridgehead.

Name of the given bicyclic compound is 2 - methylbicyclo[4.3.0]nonane

i'm pretty sure its b i might be wrong though!