There is a match between two teams. Each team has a total of 15 players. After the match, all the players of one team shake hands with all the players of the other team. What is the number of possible hand shakes?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 225
Every handshake is between one player of the first team and one player of the second; players of the same team do not shake hands with each other.
Each of the 15 players of one team shakes hands with all 15 players of the other team
Number of handshakes \(=15\times15=225\)