Commonwealth Swimming Race Brain Teaser

Five participants ( A B C D and E) participated in the swimming race of commonwealth games.
1. The first will get the Gold.
2. The second will get the Silver.
3. The Third will get the Bronze.

All the below statements are false :
1. A did not get gold and B did not get silver;
2. D did not get silver and B did not get bronze;
3. C won a medal, but D didn't;
4. A won a medal, but C didn't;
5. D won a medal and E did, too.

Which participants wins gold, silver, and bronze?