The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) ...The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) of the three numbers (1,4,7) is ____.
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The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) ...The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) of the three numbers (1,4,7) is ____.
The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) ...
The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) of the three numbers (1,4,7) is ____.
The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) ...The average value of (a-b) +(b-c) over all possible arrangement (a,b,c) of the three numbers (1,4,7) is ____.
六种排列组合 分别算下呗
(1,4,7)---(-6)
(1,7,4)---(-3)
(4,1,7)---(-3)
(4,7,1)---(3)
(7,4,1)---(6)
(7,1,4)---(3)
是0
也可以这样想
a,b,c分别出现1,4,7都是两次 所以
(a-b)+(b-c)=a-c
平均值就是(1+4+7)*2-1+4+7)*2=0