You should be able to do this by creating a distinct count on your unique identifier. To create a distinct count, right click on your unique identifier and select New Calculation. Select Distinct Count for your type to create a new aggregated measure. You can then put your hierarchy on rows, the Type data item on columns, and select your new distinct count as the measure. A screenshot using sample employee data is below, but this should give you an idea of what it would look like.
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