Step 1: Meaning of cognizable offences.
Cognizable offences are those where police can take immediate action. They are generally serious in nature (like murder, rape, theft, etc.).
Step 2: Police powers under CrPC.
In cognizable cases:
- Police can arrest a person without a warrant.
- Police can investigate the offence without prior permission from a Magistrate.
Step 3: Conclusion.
Therefore, the police have both the above powers, so option (c) is correct.