The Top 10 Ways to Kill Paragon (adapted from @Angwil)
10. Go first and kill him.
9. take a champ that ignores unkillable, like Genbo.
8. take a champ that removes buffs, like Serris, Ogryn Jailer or Shaman.
7. take a champ that blocks active skills, like Bystophus or Aothar.
6. take a champ that provokes, like Seeker, Bivald, Prundar, Templar or Gnarlhorn.
5. take a champ that places fear, like Miscreated Monster, Conellia or Akoth.
4. take a champ that freezes, like Yakarl, Broadmaw or Graybeard.
3. take a champ that places sleep, like Tayrel or Diabolist.
2. take a champ that places stun, like Iron Brago, Karato, Husk, Archmage Hellmut, Prundar, or Executioner.
And number one, and the easiest way to kill Paragon, is to put any champ you want in a Stun Set.
The stun set chance is 18% with every attack, and it cannot be resisted no matter what resistance the enemy Paragon has. Just put ANYONE in it and click auto and Paragon drops dead fairly directly after he gets stunned.
You can farm stun set gear from Fire Knight, or buy some pieces from the market. ;)