Team 1 has 15 players and Team 2 has 15 players.
Each player from Team 1 shakes hands with every player from Team 2.
For any single player from Team 1:
Number of handshakes = 15 (one with each player from Team 2)
Since there are 15 players in Team 1, and each shakes hands with all 15 players from Team 2:
Total number of handshakes = 15×15
Total number of handshakes = 225
Therefore, the number of possible handshakes is 225.
The correct answer is Option 2.