How many statements are correct?  

Statement 1. An annual time series will never have a seasonal component.

Statement 2. A random component can exist in both a stationary time series and a non-stationary time series.

Statement 3. A seasonal component is always a cyclical component. While a cyclical component is not always a seasonal component.

Statement 4. A nonstationary time series can have random, trend, and seasonal components at the same time.