12 people are playing in a tennis comprtition.Each person must play one game against each other person.how many games are played altogether ? is it 12^11 divided by 2 = 66 thanks
correct
but I bet you meant to type
(12 * 11)/2
12^11 would be 12 raised to the 11
To find the total number of games played, we need to use the concept of combinations. Each player needs to play against every other player once, which means we need to calculate the number of combinations possible.
The number of combinations can be found using the formula nC2, where n represents the total number of players. In this case, n = 12.
nC2 = n! / (2! * (n - 2)!)
Using this formula, the number of games played is:
12C2 = 12! / (2! * (12 - 2)!)
= 12! / (2! * 10!)
= (12 * 11 * 10!) / (2 * 1 * 10!)
= (12 * 11) / 2
= 132 / 2
= 66
So, the correct answer is indeed 66 games played altogether.