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AJ PHP Software Source Code Statistics Library
Binomial Coefficient

number binomial_coefficient ( integer, integer)

Description:

binomial_coefficient returns the binomial coefficient given n, possibilities, and k, unordered outcomes.

Source Code:

 function binomial_coefficient (\$n, \$k) {   //variable and initializations   \$the_result = 0;   \$n_factorial = 0;   \$k_factorial = 0;   \$n_k_factorial = 0;   //calculate n,k n-k factorial   \$n_factorial = factorial_integer(\$n);   \$k_factorial = factorial_integer(\$k);   \$n_k_factorial = factorial_integer(\$n - \$k);   if (\$n_factorial != "error" and       \$k_factorial != "error" and       \$n_k_factorial != "error")   {     \$the_result = \$n_factorial / (\$k_factorial * \$n_k_factorial);   }   else   {     return "error";   }   return \$the_result; } function factorial_integer (\$k) {   //variable and initializations   \$the_result = 1;   //check to see if k is an integer   if (!is_int(\$k))   {     return "error";   }   //check for k < 0   if (\$k < 0)   {     return "error";   }   //0! = 1   if (\$k == 0)   {     return 1;   }   //calculate the result   for (\$i = 2; \$i <= \$k; \$i++)   {     \$the_result = \$the_result * \$i;   }   //return the value   return \$the_result; }

Example:

 "; echo "k = \$k
"; echo "the_binomial_coefficient = \$the_binomial_coefficient
"; ?>

Run Example

 binomial coefficient binomial coefficient mean mean of a set of number median median of a set of number standard deviation population standard deviation of a population standard deviation sample standard deviation of a sample variance population variance of a population variance sample variance of a sample

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