There is a stair of 10 steps.IF you can only go up for 1 steps or 2 steps once.How many ways can
问题描述:
There is a stair of 10 steps.IF you can only go up for 1 steps or 2 steps once.How many ways can
you use to get to the 10th step?
答
10级台阶可以分成:
10个1级;
8个1级,1个2级;
6个1级,2个2级;
4个1级,3个2级;
2个1级,4个2级;
5个2级
共6种分台阶的办法,
然后排列组合,
共有,1+9C1+(7C2+7C1)+(5C3+5C2+5C1)+(5C2+5C1)+1=79 种上楼的方法不对把,我看了答案是89,就是不知道为什么确定吗?答案有解析式子吗?我和我朋友都算的79种没,你会不会漏了哦,我想明白了,对不起对不起,之前算错了,在“4个1级,3个2级”里面少算10种,应该是1+9C1+(7C2+7C1)+(5C3+(5C2)*2+5C1)+(5C2+5C1)+1=89 种上楼的方法复制搜索