Creating a measure based on a dimension

Hello,

I need a little help with understanding how to create measures based on a dimension table.

I have a simple model connecting Orders with Customers, Calendar and Country table.

I would like to calculate how many types of customers have placed orders for any country but in a specific month.

This is the model:

Here is what I need to get (column Customer Types).

There are more months and countries in this table - this is just a cut)

I was able to get the good result for 
Customer Types =
CALCULATE(
  DISTINCTCOUNT(Order[CustomerType]),
  ALL(Country)
)
But at the end I will not have the column Order[CustomerType] available in the model so I can't use it.

My first aproach was to create a simple count
Customer Types ver 1 =
DISTINCTCOUNT(Customer[CustomerType])

The problem is that is showing me number of Customers Types for all periods and coutnries

Second aproach is to include the Order table in the calculation

Customer Types ver 2 =
CALCULATE(
  DISTINCTCOUNT(Customer[CustomerType]),
  Order
)

This way the number of Customer Types is now split by month but also by country.

I have tried another solution:

Customer Types ver 3 =
CALCULATE(
   DISTINCTCOUNT(Customer[CustomerType]),
   Order,
   ALL(Country)
)
This returns the exact same numbers as version 2.

If you have an idea on how to do this I would appreciate help.

Thanks