Knight and Dragon:

A knight fights a dragon with 100 heads. This knight can cut off 15, 17, 20, or 5 heads with one blow of his sword, however, in each of these cases a number of new heads will grow immediately: 24, 2, 14, or 17 heads, respectively. The dragon dies only if all its heads are cut off. Is it possible to kill the dragon?

Answer this based on a group discussion format of 4 people to understand this thoroughly.