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MATH 1 题,请帮忙

__________
__________
_________
_________
图就是四条横线如上所示,再画上三条竖线,象 田 的形状, 左下是X点右上角是Y点。

TOM will from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avennues shown in the map above. How many routes from X or Y can Tom take that have the minimum possible length.

answer ;6,8,10,14,16.选10

到是可以数出来,可是好象有一种方法是用排列组合来算的,请给讲一下,?
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Ok, there are five step to the destiny, three ||| and to__ __. so 5 elements to 排列 it is P(55), but ||| are same, then divied by P(33), two __ __ are same ,then divided by P(22),
finally the answer is P(55)/P(22)/P(33)=10.

Make sense?

TOP

[此贴子已经被作者于2003-1-5 1:40:26编辑过]

TOP

呵呵
不如直接数数吧!

TOP

if it is 5条横线,3条竖线, you still could get the answer by 直接数?

TOP

哦.

呵呵...我相信ets得智商...

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