There are five teams in a basketball competition. Each team must play each of the other teams once. How many games will each team play?
5*4/2 = 10
There are five teams in a basketball competition. Each team must play each of the other teams once. How many games will each team play?
To find out how many games each team will play, we need to determine the total number of games in the competition, and then divide that number by the number of teams.
In this case, with five teams, we need to calculate the number of games required to ensure that each team plays every other team once.
To calculate the total number of games, we can use the formula for combinations:
nCr = n! / (r!(n-r)!)
where n is the total number of teams and r is the number of teams in each game.
Since each game involves two teams, we can set r equal to 2.
Plugging the numbers into the formula:
5C2 = 5! / (2!(5-2)!) = 5! / (2!3!) = (5 * 4 * 3!) / (2! * 3!) = (5 * 4) / 2 = 10
So, there will be a total of 10 games in the competition.
Now, to determine how many games each team will play, we divide the total number of games by the number of teams:
10 games / 5 teams = 2 games
Therefore, each team will play 2 games in the basketball competition.