Final answer:
The statement is true as execution permanently prevents any further possibility of crime by the offender. The concept of capital punishment ensures that executed individuals cannot reoffend, while the principle of double jeopardy protects individuals from being tried again for the same crime once acquitted.
Step-by-step explanation:
The statement 'Once executed, an offender cannot commit another crime' is true. Execution is the most severe form of criminal punishment, and it irrevocably prevents the individual from committing further crimes by ending their life. This is in line with the concept of capital punishment, which is a legal process where a person is put to death by the state as a punishment for a crime. The Fifth Amendment protects against double jeopardy, which means that once a person is found not guilty, they cannot be tried again for the same crime at the same level of government. However, a person that has committed a crime and is later released, such as a sexual offender on parole, may commit another crime, demonstrating that the legal consequences like incarceration or punishment can sometimes fail to deter future criminal behavior.