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
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
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.
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