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Using the eldo's data:

m = Partition[Range @ 100, 10]; 

An alternative is to use TakeDrop:

dropRowsCols[m_, rows : {_, _}, cols : {_, _}] := Part[ TakeDrop[ Transpose[ Part[ TakeDrop[ Transpose @ m, rows ], 2 ]], cols ], 2 ]; dropRowsCols[m, {2, 6}, {2, 3}] // MatrixForm