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?
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?
Solution
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 =
Total number of handshakes =
Therefore, the number of possible handshakes is 225.
The correct answer is Option 2.
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