Given that \(a,b,c,d\) are real numbers such that

\[a+b+c=5,\] \[a+b+d=7,\] \[a+c+d=11,\] \[b+c+d=13,\]

find the value of \(\displaystyle| abcd \displaystyle|\).

**Details and Assumptions**

\(\displaystyle| n \displaystyle|\) denotes the absolute value of \(n\).

For example, \(\displaystyle| -3 \displaystyle|\) \(= 3\) and \(\displaystyle| 4 \displaystyle|\) \(= 4\).

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