nCk

Contents: Description, Arguments, Usage, Examples, Sub-Functions, Related Functions, Source Supported Under Version: >1.00 Current .dvrc Version: 1.29 Description Combinations (n-choose-k, the binomial coefficient). Arguments and Return Values Arguments: Two numeric values (must be scalar) Return Value: The number of combinations possible when choosing k items from a set of n items (order doesn't matter) So, to find the number of 5-card hands possible from a 52-card deck, use nCk(52, 5) nCk(n, k) = n!/(k!*(n-k)!) This function uses nCk(n, k) = n*(n-1)*(n-2)*...*(n-(k-1))/(k*(k-1)*(k-2)*...*1) Returns integer when output is small enough to be correctly expressed as an integer; float otherwise If no arguments are input, nCk() prints its description, as shown below. Usage Syntax: nCk(n, k) 'n' - a scalar value specifying the number of items in the set 'k' - a scalar value specifying the number of items to choose Examples dv> nCk() Combinations (a.k.a. n choose k, or the binomial coefficient) nCk(n,k) returns the number of ways to choose n elements from a set of k elements (n >= k; order doesn't matter) nCk = n!/(k!*(n - k)!) Does NOT work for arrays, only for 1x1x1 inputs S.Marshall 02-25-2008 0 dv> nCk(52, 5) 2.59896e+06 dv> nCk(16, 6) 8008 dv> nCk(10, 0) 1 dv> nCk(10, -1) Inputs must be positive integers 0 dv> nCk(10, 1//2//3) Inputs must be scalar (1x1x1) 0

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