In an ARIMA model with monthly data how many coefficients (excluding the constant term) are in the ARIMA model specified as (1,1,2)(0,1,1) and how many observations are lost due to differencing?

3 coefficients and 5 observations lost

4 coefficients and 13 observations lost

2 coefficients and 12 observations lost

3 coefficients and 14 observations lost

4 coefficients and no observations lost