Association (link) between discrete numeric variable and categorical variable

#1
Hello everybody,
I need your help with two questions. I haven't found test which is mentioned as appropriate for numeric (discrete!) variable in these situations below:

1) There are two variables - one is categorical (type of company - big/small) and other is numeric (but discrete!) variable (number of related companies - the range of this variable is 0-5, whole numbers). Which statistical method to use for determining association (link) between these variables?

2) There are two variables - one is categorical (audit opinion - positive/different from positive) and other is numeric (but discrete) variable (number of related companies - the range of this variable is 0-5, whole numbers). Which statistical method to use for determining association (link) between these variables?

Thank you!