The answer
It serves as an introductory problem for Dynamic Programming (using previous state to calculate current state) and combinatorial mathematics.
Pascal's Triangle: Mathematical Patterns
Why is Pascal's Triangle important in programming?
More FAQs in Pascal's Triangle: Mathematical Patterns
It is a triangular array of binomial coefficients where the edges are 1, and each internal number is the sum of the two numbers directly above it.
You can calculate it using the combinations formula nCr, or calculate the next item in a row on the fly using: current * (row - col) / col.
Floyd's triangle just continuously increments a counter (1, 2, 3, 4). Pascal's Triangle requires complex mathematical calculations dependent on the row and column position.
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