编写函数文件,计算整数m取n组合数(m>n).matlab
时间: 2024-09-25 18:10:03 浏览: 42
在MATLAB中,你可以使用`comb`函数直接计算组合数,但是如果你想编写一个自己的函数文件来实现这个功能,你可以按照以下步骤:
```matlab
function C = combination(n, m)
% COMB function calculates the number of combinations for n items taken m at a time.
% Input:
% n - total number of items
% m - number of items to choose
% Output:
% C - combinatorial coefficient (combination)
% Check if n is greater than m and handle edge cases
if n < m || ~isnumeric(n) || ~isnumeric(m) || isnan(n) || isnan(m)
error('Invalid input: n must be a positive integer greater than m.');
end
% Calculate the combination using the formula C(n, m) = n! / (m!(n-m)!), where ! denotes factorial
C = factorial(n) ./ (factorial(m) .* factorial(n - m));
end
```
在这个函数中,我们首先检查了输入是否合法(确保`n`大于`m`且都是正整数),然后使用组合公式计算结果并返回。
如果你已经保存了这个函数到一个名为`combination.m`的文件中,你可以在其他地方调用它像这样:
```matlab
n = 5; % replace with your desired values
m = 2;
C = combination(n, m);
disp(C);
```
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