The web based calculators are widely used due to the fact that they usually do not require the installation of a third party software in neither of the known operating systems. Calculators that come with client side programming languages as JavaScript imply the execution of the code on the client side and they require only a compatible web browser.
There are many free JavaScript calculators that perform almost any type of mathematical or statistical operations, like the value of factorial function for various integer numbers. A factorial number is defined as follows: n! = 1 x 2 x 3 x ... x (n-1) x n, where n is an integer.
In case you want to automate the calculation of binomial coefficient values with the help of JavaScript, an efficient algorithm must be chosen. The most common used algorithm in calculation of factorial value is recursion. In any recursion method a function is generated during an iteration. As a consequence, the factorial of n can be defined recursively like: n!=(n-1)! X n.
The binomial coefficient is defined as C(n,k)=n!/(k! X (n-k)!). The next JavaScript code will allow you to calculate the value of any binomial coefficient in case of integers:
CODE
<html>
<script type="text/javascript">
function fact(n)
{ if (n <= 1)
return 1
else
return n * fact(n-1)
}
var n = 3
var k = 2
document.write(fact(n)/(fact(k)*fact(n-k)))
</script>
</html>
You can copy and paste the code in a new notepad window or any text editor and save it as calculator.html in order to test the script. The if statement takes into account the fact that 0!=1!=1. When the n variable takes a value lower than or equal with the unity the iteration stops. By changing the values of n and k variables, you will be able to find out the value of the corresponding binomial coefficient. You can perform further customizations to this script, such as the adding of an option to change the variable values using forms, without the need to manually edit the code.
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