var
  Form1: TForm1;
  i,j:integer;
implementation

{$R *.dfm}
procedure TForm1.Button1Click(Sender: TObject);
		begin
			with StringGrid1 do
				for i:=0 to ColCount -1 do
					for j:=0 to RowCount -1 do
					cells[i,j]:=inttostr(random(50)+1);
		end;

procedure TForm1.Button2Click(Sender: TObject);
var temp:integer;
begin
	 with StringGrid1 do
			for i:=1 to ColCount -1 do
					for j:=0 to RowCount -1 do
			if StrToInt(cells[i,j])>StrToInt(cells[i-1,j]) then
			  begin
				temp:=StrToInt(cells[i-1,j]);
				cells[i-1,j]:=cells[i,j];
				cells[i,j]:=IntToStr(temp);
			 end;
end;

begin
  randomize;
end.

function mySort(List: TStringList; first, second: Integer): Integer; // это функция сортировки
  function f(index: integer): integer;
  begin result := StrToInt(List.Strings[index]) end;
begin
  result := f(second) - f(first)
end;

procedure TForm1.Button12Click(Sender: TObject);
var
  ts: TStringList;
  i: integer;
begin
  ts := TStringList.Create;
  try
    with StringGrid1 do
    begin
      for i := 0 to RowCount - 1 do
      begin
        ts.Assign(Rows[i]); // Получаем элементы очередной строки
        ts.CustomSort(mySort); // сортируем их как числа по убыванию
        Rows[i].Assign(ts); // возвращаем назад в Грид
      end;
    end;
  finally
    ts.Free;
  end;
end;

var m,i:integer;
	 a:array[1..5] of integer;

for i:=1 to 5 do
m:=m+a[i];

m:=m+StrToInt(cells[i]);

unit Unit2;

interface

uses
  Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
  Dialogs, StdCtrls, Grids;

type
  TForm2 = class(TForm)
    StringGrid1: TStringGrid;
    Button1: TButton;
    Button2: TButton;
    procedure Button1Click(Sender: TObject);
    procedure FormCreate(Sender: TObject);
    procedure Button2Click(Sender: TObject);
  private
    { Private declarations }
  public
    { Public declarations }
  end;

type
  a=array [1..5] of integer;
  m=array [1..5] of a;
const
  n=5;

var
  Form2: TForm2;
  mas:m;

implementation

{$R *.dfm}

procedure refreshtable;
var
  i,j:byte;
begin
  for I := 1 to n do
    for j := 1 to n do
      form2.StringGrid1.Cells[j-1,i-1]:=inttostr(mas[i,j]); // тут укажи свою форму
end;

procedure TForm2.Button1Click(Sender: TObject);
var
  i,j:byte;
  s:integer;
begin
  for I := 1 to n do   begin
  s:=0;
    for j := 1 to n do begin
      mas[i,j]:=Random(100);
      s:=s+mas[i,j];
    end;
    StringGrid1.Cells[5,i-1]:=inttostr(s);
  end;
    refreshtable;
end;


procedure TForm2.Button2Click(Sender: TObject);
var
  i,j:byte;
  s:string;
  k:a;
begin
  for I := 1 to 4 do
    for j := 1 to n-i do
      if (strtoint(StringGrid1.Cells[5,j]) < strtoint(stringGrid1.Cells[5,j-1])) then  begin
        k:=mas[j];
        mas[j]:=mas[j+1];
        mas[j+1]:=k;
        s:=StringGrid1.Cells[5,j-1];
        StringGrid1.Cells[5,j-1]:=StringGrid1.Cells[5,j];
        StringGrid1.Cells[5,j]:=s;
      end;
    refreshtable;
end;

procedure TForm2.FormCreate(Sender: TObject);
begin
  Randomize;
end;

end.

type
  a=array [1..5] of integer;
  m=array [1..5] of a;
const
  n=5;
var
  Form1: TForm1;
  mas:m; // <--- То есть, mas: array[1 .. 5] of array[1 .. 5] of integer ?

// Тогда здесь ...
procedure TForm1.Button2Click(Sender: TObject);
var temp,i,j:byte;
begin
  for i:=1 to n do
      for j:=0 to n do
      if mas[i,j]>mas[i-1,j] then // <--- №1
        begin
          temp:=mas[i-1,j]; // <--- №2
          mas[i-1,j]:=mas[i,j]; // <--- №3
          mas[i,j]:=temp;
        end;
    refreshtable;
end;