Number of different forecasts containing exactly 6 correct results:

To determine the number of different forecasts containing exactly 6 correct results, we need to consider the total number of possible outcomes for each match (win, loss, or draw) and apply the concept of combinations.

Step 1: Determine the total number of outcomes for each match:
Each match can have three possible outcomes: win, loss, or draw. Therefore, there are a total of 3 outcomes for each match.

Step 2: Calculate the total number of different forecasts:
Since we have 8 matches in total, and each match can have 3 possible outcomes, the total number of different forecasts is calculated by multiplying the number of outcomes for each match together.

Total number of different forecasts = 3^8 = 6561

Step 3: Calculate the number of different forecasts with exactly 6 correct results:
To calculate the number of different forecasts with exactly 6 correct results, we need to consider the number of ways we can choose 6 matches out of the 8 matches to be correct, and the remaining 2 matches to be incorrect. This can be calculated using combinations.

The number of ways to choose 6 matches out of 8 matches is given by the combination formula:

C(8, 6) = 8! / (6! * (8-6)!) = 28

For each of these 28 combinations, the remaining 2 matches can have any outcome (win, loss, or draw). Therefore, for each combination of 6 correct matches, there are a total of 3^2 = 9 different forecasts.

Hence, the total number of different forecasts containing exactly 6 correct results is:

Total number of different forecasts = 28 * 9 = 252

Conclusion:
In conclusion, there are 252 different forecasts containing exactly 6 correct results out of the total 6561 different forecasts.