Hockey match

The hockey match ended with result 3:1. How many different storylines may have the match?

Correct result:

n =  4

Solution:

A: 0:0 0:1 1:1 2:1 3:1 B:0:0 1:0 1:1 2:1 3:1 C:0:0 1:0 2:0 2:1 3:1 D:0:0 1:0 2:0 3:0 3:1 A:\ 0:0 \ 0:1\ 1:1\ 2:1\ 3:1 \ \\ B: 0:0\ 1:0\ 1:1\ 2:1\ 3:1 \ \\ C: 0:0\ 1:0\ 2:0\ 2:1\ 3:1 \ \\ D: 0:0\ 1:0\ 2:0\ 3:0\ 3:1 \ \\

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