permutation &combination (1題)

2011-06-21 2:22 am
There are 6 boys and 6 girls. How many ways are there to divide them into 6 groups with 1 boy and 1 girl in each group?

Ans.: 6!

I do not understand why this is the answer, please explain it to me, thanks!

回答 (1)

2011-06-21 3:08 am
✔ 最佳答案
B1 - G (For B1, he can choose 6 girls)
B2 - G (For B2, he can choose 5 girls)
B3 - G (For B3, he can choose 4 girls)
B4 - G (For B4, he can choose 3 girls)
B5 - G (For B5, he can choose 2 girls)
B6 - G (For B6, he can choose 1 girl)
No. of ways
= 6*5*4*3*2*1
= 6!
= 720
參考: Knowledge is power.


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