maths and stat

2010-06-16 1:18 am
Confusion of permutation and Combination.....
I really dont know how to distinguish the case between two of them when doing the textbook exercise....
For example,,,
1) A student has 15 different books.In how many ways can he arrange 12 of them on a shelf if there is no restriction?

I use the method of 15C12 to answer it.However,I should use the method of permutation instead to attain the answer.

Another example,,A sample of 5 cars is selected for a destructive test from a group containing 7 small,4 medium and 6 large cars.How many samples are possible with no restriction?

And this time,I use the methods of permutation....however,this time is wrong....
I really confused....

回答 (2)

2010-06-16 1:28 am
✔ 最佳答案
注意一件事
你要知道事情是否重order
第1題明顯係
因為你一本一本放書上去
所以order係一個重要的事

所以可能性=15P12

而第2題是(7+4+6)咁多架車抽取5架車
你抽取ABCDE同EDCBA都是一樣組合
所以
(7+4+6)C5
2010-06-16 3:49 am
1.題目用 arrange ,代表考慮次序

2010-06-15 19:50:15 補充:
所以用 permutation


2.題目用group,代表不考慮次序,所以用Combination


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