Question
Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible selections.
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$3 A-B=\left[\begin{array}{ccc}-1 & 2 & 1 \\ 1 & 0 & 5\end{array}\right]$ and $A+5 B=\left[\begin{array}{ccc}0 & 0 & 1 \\ -1 & 0 & 0\end{array}\right]$