F5 Maths permutation

2011-05-10 9:19 pm
In how many ways can 4 couples be seated in a row if
a) all men must sit together. ans: 2880
b) all men must not sit together. ans: 37440


回答 (1)

2011-05-10 10:07 pm
✔ 最佳答案
(a) Treat 4 men as one, then the no. of ways = 5!

Since, the men have 4! no. of ways to change their locations

Total no. of ways = 5! * 4! = 2880

(b) It is just the coplement of (a) and the no. of ways

= 8! - 2880

= 37440


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