[算法]求一个排列组合的算法
是这样的
从0~9,a~z这36个字符中随机抽取3个数,计算有多少种排列组合的方法
求大神指教
回复讨论(解决方案)
36*36*36=46656
36*36*36
算了 自己写出来了
/** * 排列组合算法 * C($n,$m) * $n 元素的个数 * $m 从$n中取出的元素个数 * $num 组合情况的总数 **/function get_combination($n,$m) { if ((is_int($n) && is_int($m)) && ($m<=$n)){ $a = 1;//初始化 for ($i=1;$i<=$m;$i++){ $a = $n*$a; $b = 1*$i; $n--; } $num = $a/$b; return $num; }}
组合公式:c(n,m)=p(n,m)/m!=n!/((n-m)!*m!)
您认为您算的对吗?
组合公式:c(n,m)=p(n,m)/m!=n!/((n-m)!*m!)
您认为您算的对吗?
你可以试试
36*35*34
按组合公式算出的是 7140
比你少一半
组合公式:c(n,m)=p(n,m)/m!=n!/((n-m)!*m!)
您认为您算的对吗?
你可以试试
echo get_combination(3,3);
输出 2
怎么也是不对的
echo get_combination(3,3);
输出 2
怎么也是不对的
恩 刚看了下也是
你写的公式也是有错误
如果按你的公式
从2个数里提出两个数来排列 就等于1
对
从2个数里提出两个数来 组合 就是 1
排列 才是 2
p(n,m)=n(n-1)(n-2)……(n-m+1)=n!/(n-m)!(规定0!=1).
补充以下 这3个数可以相同
比如从数组(1,2)里提取随机两个数来组合 可以是
11
22
12
21
对
从2个数里提出两个数来 组合 就是 1
排列 才是 2
p(n,m)=n(n-1)(n-2)……(n-m+1)=n!/(n-m)!(规定0!=1).
好了 自己把自己绕进去了
n^m就OK了
谢谢了
一直纠结排列组合去了

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