13.Suppose that 10 people attend a gathering.

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13.Suppose that 10 people attend a gathering.
(a) Suppose the 10 people consist of 5 couples (each consisting of a husband and a wife).
If the men and women are paired up at random,with each pair consisting of a man
and a woman,what is the probability that everyone gets paired with his or her spouse?
(b) Suppose the 10 people consist of 5 sets of twin sisters.If the 10 people are then
grouped into 5 pairs at random,what is the probability that everyone gets paired with
her twin?

假设10人参加一个聚会.
（a）假设这10人由5对夫妇组成（一个丈夫和一个妻子）,如果男女随机配对,每对一男一女,每个和其配偶配对的概率是多少?
（b）假设10人由5组孪生姐妹组成.如果这10人随机分成5组,有多少概率每个人都和自己的孪生姐妹一组?
a,由于分男女,所以任意挑出来一个男的,他和老婆分一组的概率是1/5,第二个男人是1/4,第三个是1/3,然后是1/2,最后是1.相乘可得1/120.
b,由于不分男女,所以任意挑一个人,和自己姐妹分一起的概率是1/9,第二个是1/7,第三个是1/5,1/3,和1.相乘可得1/945
纯手打,绝对正确

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