Value of the absolute value of the difference


The question: "Two distinct integers are chosen at random and without replacement from the first six positive integers. Compute the expected value of the absolute value of the difference of these two numbers." My question is, are (6,1) and (1, 6) different? If they are distinct, I get an E(X) of 14/3. If they are not, I get an E(X) of 7/3. How do I know whether to count 6-1 and abs(1-6), or just abs(6-1)?

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Basic Statistics: Value of the absolute value of the difference
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