C++ Condensing nested for loops

I have these for loops.

// output all possible combinations
for ( int i1 = 0; i1 <= 2; i1++ )
     {
         for ( int i2 = 0; i2 <= 2; i2++ )
             {
                 for ( int i3 = 0; i3 <= 2; i3++ )
                     {
                         for ( int i4 = 0; i4 <= 2; i4++ )
                             {
                                 for ( int i5 = 0; i5 <= 2; i5++ )
                                     {
                                         for ( int i6 = 0; i6 <= 2; i6++ )
                                             {
                                                 for ( int i7 = 0; i7 <= 2; i7++ )
                                                     {
                                                         //output created words to outFile
                                                         outFile
                                                         << phoneLetters[n[0]][i1]<< phoneLetters[n[1]][i2]
                                                         << phoneLetters[n[2]][i3]<< phoneLetters[n[3]][i4]
                                                         << phoneLetters[n[4]][i5]<< phoneLetters[n[5]][i6]
                                                         << phoneLetters[n[6]][i7]
                                                         << " ";

                                                         if ( ++count % 9 == 0 ) // form rows
                                                             outFile << std::endl;
                                                         }
                                                 }
                                         }
                                 }
                         }
                 }
         }

It looks awful but I'm too much of a newb to know where to begin in regards to condensing them.

Can someone give me a pointer or two so I can make this code a little neater?