To determine the minimum number of test cases needed to cover:

All unique paths (without repeating loops) in the BPMN process model.

All decision rules (combinations) in the DMN decision table.

Let’s break it down:

BPMN Paths:

If the purchase order is not approved → process ends → 1 path

If approved:

Goods received → “Check of delivery” → Acceptance YES → Payment → 1 path

Goods received → “Check of delivery” → Acceptance NO → Discussion → End → 1 path

= Total distinct BPMN paths: 3

DMN Table:

There are 4 rules based on two inputs (Quality check and Quantity check):

Acceptable + Amount ok → Passed

Substandard + Amount ok → Failed

Acceptable + Amount incorrect → Failed

Substandard + Amount incorrect → Failed

You must execute 4 combinations to cover all decision rules.

To cover both all BPMN flows and all DMN rules, you need a minimum of 4 test cases (each using a different rule from the DMN table and associated BPMN path). Paths may overlap, but all rules must be exercised.