1..A total of 12 attendees,consisting 6 couples,are attending a marriage seminar.An activity during the seminar has to randomly group the attendees into six groups of two attendees.
(a)how many groups can formed
(b)probability that each group contains attendees of same gender
math probability?
2016-02-27 4:33 pm
回答 (1)
2016-02-28 9:38 pm
✔ 最佳答案
1a)12!/(2! * 2! * 2! * 2! * 2! * 2! * 6!) or 12C2 * 10C2 * 8C2 * 6C2 * 4C2 * 2C2 / 6!
= 10395 groups can be formed.
b)
P(each group contains attendees of same gender)
= 6!/(2! * 2! * 2! * 3!)² / 10395 or (6C2 * 4C2 * 2C2 / 3!)² / 10395
= 5/231
收錄日期: 2021-04-24 22:48:25
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160227083325AAnlCXT