Question

If the number of teams are 15 then ,what would be the number of total matches

Answer 1

Given,

The total number of teams is = 15

To find,

The total number of matches among the given number of teams.

Solution,

We will solve this mathematical problem by assuming that a team will play a single match against another teams and it is a round robin tournament. ( If that's not the case and there is repeated matches between two teams, then we can multiply the number of repeat matches with the final result.)

Now, we can solve this mathematical problem by using the combination method.

Here,

n = total number of teams = 15

r = total teams per match = 2

Combination = nCr = 15C2 = 105

Hence, atleast 105 matches will be played.

Answer 2

Answer:

answer is 105

Explanation:

the question is unclear but i will guess a series of matches in which each team has to play every other team once.

looking at some examples yields a pattern:

2 teams 1 game

3 teams 3 games (1 + 2)

4 teams 6 games (1+2+3) (1–2, 1–3, 1–4, 2–3, 2–4, 3–4)

5 teams 10 games (1+2+3+4)

so 15 teams would require (sum of the digits 1 thru 14)

a simple formula exists n(n+1)/2 14(14+1)/2 7 * 15 = 105 games