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#!/bin/sh
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n=5;
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k=3;
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calculate_factorial(){
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partial_factorial=1;
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for (( i=1; i<="$1"; i++ ))
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do
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factorial=$(expr $i \* $partial_factorial)
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partial_factorial=$factorial
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done
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echo $factorial
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}
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n_factorial=$(calculate_factorial $n)
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k_factorial=$(calculate_factorial $k)
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n_minus_k_factorial=$(calculate_factorial `expr $n - $k`)
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binomial_coefficient=$(expr $n_factorial \/ $k_factorial \* 1 \/ $n_minus_k_factorial )
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echo "Binomial Coefficient ($n,$k) = $binomial_coefficient"
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