probability@01who can help

2012-09-29 2:35 am
In how many ways can a caravan of 8 covered wagons from Arizona be arranged in a circle?

回答 (1)

2012-09-29 3:28 am
✔ 最佳答案
No. of ways

= (8 - 1)!

= 7!

= 5040

2012-09-28 22:47:27 補充:
排成一直線的安排方法是 8P8。

把直線彎成一圓,(12345678), (23456781), (34567812), (45678123), (56781234), (67812345), (78123456), (81234567) 等八種直線安排方式會形成同一圓形排列。同理,每八個直線安排方式都會形成同一圓形排列,故答案必須除以 8。

因此,排列方式數目 = 8P8 / 8 = 8!/8 = 7!
參考: andrew, andrew


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