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

[![enter image description here][1]][1]


 [1]: https://i.sstatic.net/8XXoh.jpg