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

Published on 12 May 2024 09:40 PM
#Bracmat

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

Source code in the bracmat programming language

(binomial=
  n k coef
.   !arg:(?n,?k)
  & (!n+-1*!k:
  & 1:?coef
  &   whl
    ' ( !k:>0
      & !coef*!n*!k^-1:?coef
      & !k+-1:?k
      & !n+-1:?n
      )
  & !coef
);

binomial$(5,3)
10

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