maths and stat(combination)

2010-06-16 12:25 am
A transportation company has 8 lorries and 10 drivers available. When it receives 4 orders of one lorry each, how many different selections of lorries and drivers are there to meet the requests?

Below is my work,,
8C4 times 10C4 =14700(but wrong)

but I really dont understand why we need to times the above anwer by 4! so as to get the real answer

Thanks a lot!!!


ans:352800

回答 (1)

2010-06-16 12:31 am
✔ 最佳答案
因為10個drivers可以隨機抽

但8架lorries分配司機時,係一架一架地走

所以牽涉order

所以要乘4!



所以可能性

8P4(10C4)=352800


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