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The problem asks to calculate the total number of football matches played in a league where there are 18 teams, and each team plays two matches against each of the other teams.

### Solution:
1. **Number of Teams**: 18 teams.
2. **Matches per Pair of Teams**: Each pair of teams plays 2 matches.
3. **Number of Unique Pairs**: The number of unique pairs of teams is calculated by the combination formula \( \binom{n}{2} \), which represents how many ways we can select 2 teams out of 18. This formula is given by:

   \[
   \binom{18}{2} = \frac{18 \times 17}{2} = 153
   \]

4. **Total Matches**: Since each pair of teams plays 2 matches, the total number of matches is:

   \[
   153 \times 2 = 306
   \]

Thus, the total number of matches played is **306**.

Would you like a detailed breakdown of the steps, or do you have any questions?

Here are 5 related questions to expand this topic:
1. What if there were 20 teams instead of 18, how would that change the total number of matches?
2. How does the number of matches change if teams play 3 matches against each other instead of 2?
3. What if each team plays only 1 match against each other, how many matches would that be?
4. Can you generalize a formula for the total number of matches for any number of teams \( n \)?
5. How does the combination formula work in this scenario, and why is it appropriate to use?

**Tip**: Whenever you're dealing with problems involving "pairs," combinations (denoted as \( \binom{n}{2} \)) are often the go-to formula, as it helps calculate the number of ways to pick two teams from a group without regard to order.

There are 18 football teams in a league. Each team plays two matches against each of the other teams. Work out the total number of matches played.

This problem involves calculating the total number of football matches in a league with 18 teams, where each team plays 2 matches against every other team. Learn how to use the combination formula and multiplication to find the total number of matches played, suitable for students in Grades 9-10.

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