$6.[20$points$]$ Consider the following list of filter types:

$()$ Lowpass filter $()$ Highpass filter $()$ Bandpass filter $()$ Allpass filter and the following list of system properties:

$1.$ FIR system

$2.$ IIR system

$3.$ Stable and causal system

For each of the following pole$-$zero diagrams, indicate which of the filter types $-$ best describes the system, and which, if any, of the system properties $1-3$ apply. You do not need to justify your answer. For example, for an IIR low$-$pass filter, you can simply write $"()2".$

A$.[10$points $\backslash (\{\}^\{1\}\backslash )$

B$.[10$points$]$