I am currently on the lookout for a new job as there have been lay-offs in the company I work for. I have noticed two openings at another company, one which is about the same level as the one I have now, and another that is slightly more senior.

 I am tempted to try for the more senior role, as I feel I am ready for a move up, but the other one might be more within my reach. Do you think it is possible to apply for both positions or would that show I lack the ambition to take the more senior job?