Hello everyone, and welcome back to my weekly blog post! This week, we’re diving into an essential software testing technique: Pairwise and Combinatorial Testing. These methods help testers create effective test cases without needing to check every single possible combination of inputs. Similar to most of the test cases selection methods we’ve learned.
To make things more relatable, let’s start with a real-life example from the insurance industry.
A Real-Life Problem: Insurance Policy Testing
Imagine you are working for an insurance company that sells car insurance. Customers can choose different policy options based on:
- Car Type: Sedan, SUV, Truck
- Driver’s Age: Under 25, 25–50, Over 50
- Coverage Type: Basic, Standard, Premium
If we tested every possible combination, we would have:
3 × 3 × 3 = 27 test cases!
This is just for three factors. If we add more, such as driving history, location, or accident records, the number of test cases grows exponentially, making full testing impossible.
So how can we test efficiently while ensuring that all critical scenarios are covered?
That’s where Pairwise and Combinatorial Testing come in!
What is Combinatorial Testing?
Combinatorial Testing is a technique that selects test cases based on different input combinations. Instead of testing all possible inputs, it chooses a smaller set that still covers key interactions between variables.
Example: Combinatorial Testing for Insurance Policies
Instead of testing all 27 cases, we can use combinatorial testing to reduce the number of test cases while still covering important interactions.
A possible set of test cases could be:
Test Case | Car Type | Driver’s Age | Coverage Type |
---|---|---|---|
1 | Sedan | Under 25 | Basic |
2 | SUV | 25–50 | Standard |
3 | Truck | Over 50 | Premium |
4 | Sedan | 25–50 | Premium |
5 | SUV | Over 50 | Basic |
6 | Truck | Under 25 | Standard |
This method reduces the number of test cases while ensuring that each factor appears in multiple meaningful combinations.
What is Pairwise Testing?
Pairwise Testing is a type of combinatorial testing where all possible pairs of input values are tested at least once. Research has shown that most defects in software are caused by the interaction of just two variables, so testing all pairs ensures good coverage with fewer test cases.
Example: Pairwise Testing for Insurance Policies
Instead of testing all combinations, we can create a smaller set where every pair of values appears at least once:
Test Case | Car Type | Driver’s Age | Coverage Type |
---|---|---|---|
1 | Sedan | Under 25 | Basic |
2 | Sedan | 25–50 | Standard |
3 | SUV | Under 25 | Premium |
4 | SUV | Over 50 | Basic |
5 | Truck | 25–50 | Premium |
6 | Truck | Over 50 | Standard |
Here, every pair (Car Type, Driver’s Age), (Car Type, Coverage Type), and (Driver’s Age, Coverage Type) appears at least once. This means we cover all important interactions with just 6 test cases instead of 27!
Permutations and Combinations in Testing
To understand combinatorial testing better, we need to understand permutations and combinations. These are ways of arranging or selecting elements from a set.
What is a Combination?
A combination is a selection of elements where order does not matter. The formula for combinations is: C(n, r) = n! / [r! * (n – r)!]
where:
- n is the total number of items
- r is the number of selected items
- ! (factorial) means multiplying all numbers down to 1
Example of Combination in Insurance
If an insurance company wants to offer 3 different discounts from a list of 5 available discounts, the number of ways to choose these discounts is: C(5,3)=5!3!(5−3)!
So, there are 10 different ways to choose 3 discounts.
What is a Permutation?
A permutation is an arrangement of elements where order matters. The formula for permutations is: P(n, r) = n! / (n – r)!
where:
- n is the total number of items
- r is the number of selected items
Example of Permutation in Insurance
If an insurance company wants to assign 3 priority levels (High, Medium, Low) to 5 claims, the number of ways to arrange these claims is: P(5,3)=5!(5−3)!
So, there are 60 different ways to assign priority levels to 3 claims.
Why Use Pairwise and Combinatorial Testing?
- Saves Time and Effort – Testing fewer cases while maintaining coverage.
- Covers Critical Scenarios – Ensures every important combination is tested.
- Finds Defects Faster – Most bugs are caused by two interacting factors, so pairwise testing helps detect them efficiently.
- Reduces Costs – Fewer test cases mean lower testing costs and faster releases.
When Should You Use These Techniques?
- When a system has many input variables
- When full exhaustive testing is impractical
- When you need to find bugs quickly with limited resources
- When testing insurance, finance, healthcare, and other complex systems
Tools for Pairwise and Combinatorial Testing
To make the process easier, you can use tools like:
- PICT (Pairwise Independent Combinatorial Testing Tool) – Free from Microsoft
- Hexawise – A combinatorial test design tool
- ACTS (Automated Combinatorial Testing for Software) – Developed by NIST
These tools help generate optimized test cases automatically based on pairwise and combinatorial principles.
Conclusion
Pairwise and Combinatorial Testing are powerful techniques that allow testers to find defects efficiently without having to test every possible combination. They save time, reduce costs, and improve software quality.
Next time you’re dealing with multiple input variables, try using Pairwise or Combinatorial Testing to make your testing smarter and more effective!
From the blog Rick’s Software Journal by RickDjouwe1 and used with permission of the author. All other rights reserved by the author.