Explanation:

Both statements are incorrect.

• Non-Cognizable Offences: A non-cognizable offence is the offence listed under the first schedule of the Indian Penal Code and is bailable in nature.
• The crimes of forgery, cheating, defamation, public nuisance, etc., fall in the category of non-cognizable crimes.
• In case of a non-cognizable offence, the police cannot arrest the accused without a warrant and cannot start an investigation.
• The victim cannot file an FIR in the case of a non-cognisable offence. A complaint can be lodged with the magistrate who is supposed to order the police station concerned to initiate an investigation. 

Hence option 4th is correct.