combinate#
Purpose#
Computes combinations of N things taken K at a time.
Format#
- y = combinate(N, K)#
- Parameters:
N (scalar) – Total number of things in population.
K (scalar) – Number of things drawn each time.
- Returns:
y (MxK matrix) – Matrix of all possible combinations, where \(M\) is the number of combinations of N things taken K at a time.
Examples#
// Calculate all combinations of 4 items chosen 2 at a time
n = 4;
k = 2;
y = combinate(n, k);
print y;
The code above will create the following output:
1.0000 2.0000
1.0000 3.0000
1.0000 4.0000
2.0000 3.0000
2.0000 4.0000
3.0000 4.0000
Remarks#
“Things” are represented by a sequence of integers from 1 to N, and the integers in each row of y are the combinations of those integers taken K at a time.
See also
Functions combinated(), numCombinations()