Pascal's Triangle Coefficients

Introduction to Pascal's Triangle Coefficients

The coefficients in Pascal's triangle are calculated using the formula C(row, col) = row! / (col! * (row - col)!), where ! represents the factorial. It represents the number of ways to choose col items from a set of row different items.

Parameter usage:

• row = the row in Pascal's triangle
• col = the column in Pascal's triangle

Output:

• C(row, col) = the coefficient at the specified position in Pascal's triangle

Data validation

The column value should be between 0 and row, both inclusive.

Summary

This calculator determines the coefficient at a given position in Pascal's triangle. It evaluates combinations and is widely used in probability and combinatorics.