Statistics Probability Question?

2016-02-26 4:26 pm
In how many ways can a group of 12 men be divided into two groups of 8 and 4?

回答 (4)

2016-02-26 4:32 pm
✔ 最佳答案
Steps :
1. Take out 8 men from the 12 men to form a group of 8. The number of ways in this step is C(12,8).
2. The rest 4 men form a group. The number of ways in this step is 1.

Total number of ways
= C(12,8) × 1
= 12!/8!4!
= 495
2016-02-26 4:31 pm
C(12,8) = C(12,4) = 12!/(4!8!) = 495

Why is it not C(12,8)*C(12,4)?
2016-02-26 4:29 pm
11880
2016-02-26 4:30 pm
Group of 8: 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5
Group of 4: 4 x 3 x 2 x 1

Can you take it from here?


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