Math 2.0

Combinatorics Concept

Falling factorial

Summary

The falling factorial (x)k(x)_k is the product of kk consecutive descending factors that start at xx. It counts ordered selections without repetition, and it is a basis of the polynomials that is useful in finite difference calculus. The node falling factorial gives the precise definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Falling_and_rising_factorials, lead section
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