Combination

2010-12-25 6:01 pm
Find the number of ways that 12 people can be divided into 3 groups of 4 persons each. [Order of the group and arrangement of the person is not important.]

回答 (1)

2010-12-25 6:32 pm
✔ 最佳答案
First choose 4 persons out of 12 to form a group there are 12C4 waysThen choose 4 persons out from the remaining 8 to form a second group, there are 8C4 ways. Then the remaining 4 will be the third groupSince each group are of the same number of persons, the among selection process will have duplication.Total number of ways=12C4×8C4÷3!=5775

2010-12-25 10:33:46 補充:
Correction. Second last line, "the among selection" should be "the above selection"


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