15 players particiated in a participated in a tornment, where every player has to to play with every other player , how many macthse will be played
Question
Question
15 players participated in a tournament, where every player has to play with every other player. How many matches will be played?
Solution
The problem can be solved using the formula for combinations in mathematics.
The formula for combinations is: nCr = n! / r!(n-r)!
Where:
- n is the total number of items
- r is the number of items to choose
- "!" denotes factorial, which means multiplying all positive integers up to that number
In this case, we have 15 players and we want to know how many matches can be played, which means we are choosing 2 players at a time. So, n = 15 and r = 2.
Substituting these values into the formula, we get:
15C2 = 15! / 2!(15-2)!
= 1514 / 21
= 105
So, a total of 105 matches will be played.
Similar Questions
15 players particiated in a participated in a tornment, where every player has to to play with every other player , how many macthse will be played
In how many different ways can a cricket team of 11 players be chosen out of total 14 players?Options712364356256
From a group of 9 people, select the best 3 players to represent the group to participate in the team competition. How many total possibilities are there?
How many different ways can you choose a team of 5 players from a group of 10 players, where one of the players is the team captain?
If the Math Olympiad Club consists of 14 students, how many different teams of 6 students can be formed for competitions?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.