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Question is not very clear about the context of word 'sequence' here.

If I am to select 4 numbers out of four and arrange them in order then there are 4!*8C4 = 1680 different sequences possible.

If the word sequence refers to some arithmetic sequence or geometric sequence, then counting is going to change for sure.

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Q: How many possible sequences of four numbers are there from 1 to 8?
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