How to resolve the algorithm Evaluate binomial coefficients step by step in the SequenceL programming language

Published on 12 May 2024 09:40 PM
#Sequencel

How to resolve the algorithm Evaluate binomial coefficients step by step in the SequenceL programming language

Table of Contents

Problem Statement

This programming task, is to calculate ANY binomial coefficient. However, it has to be able to output

(

5 3

)

{\displaystyle {\binom {5}{3}}}

,   which is   10. This formula is recommended:

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Let's start with the solution:

Step by Step solution about How to resolve the algorithm Evaluate binomial coefficients step by step in the SequenceL programming language

Source code in the sequencel programming language

choose(n, k) := product(k + 1 ... n) / product(1 ... n - k);

choose(n,k) := binomial(n, k, 1, 1);

binomial(n, k, i, result) :=
	result when i > k else
	binomial(n, k, i + 1, (result * (n - i + 1)) / i);

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