Question

In a cricket tournament, there are 6 teams. If every team plays a match will all the
other teams, how many matches in total will be played in the tournament?​

Answer 1

Answer:

The correct answer is $15$.

Step-by-step explanation:

Used: $S=\frac{n(n+1)}{2}$ is the equation for the first $n$ natural integers added together.

Given: In a cricket tournament, there are 6 teams.  If every team competes against every other team in a match.

To find: how many matches in total will be played in the tournament.

Calculation:

Suppose first-team paly 5 matches, second-team play 4 match because already played one match and so on

Let the $\mathrm{N}$ be a number of teams

Used Sum of natural numbers formula in such types of problem.$=N(N-1) / 2$

$\mathrm{N}=14$ teams

$\Rightarrow 6(6-1) / 2$

$\Rightarrow 3 \times 5$

$\Rightarrow 15$

Hence, $15$ 15 games have been played in total.

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