Three teams X, Y and Z participated in a football tournament in which the teams play with one another exactly once. A win fetches a team 2 points and a draw 1 point. A team gets no point for a loss. Each team scored exactly one goal in the tournament. Team X got 2 points, Team Y got 3 points and Team Z got 1 point. Which of the following statements is/are correct?

1. The result of the match between X and Y is a draw with the score 0-0.

2. The number of goals scored by Z against X is 1.

Which of the statements given above is/are correct?