[b]Fallen:[/b] Do the archive on any heroic difficulty. Alternatively I would go to Venus. I'm not sure what the area is called, but if you go through the area on the right of spawn until you see the area with both fallen and vex. That area is guaranteed to have at least one fallen major, and more have a chance of spawning from the two drop ships. [b]Hive:[/b] As multiple people said, in the very start of Earth patrol, go to the little hut on the left, and downstairs. There are 3 hive majors there. You can respawn them very fast as well. [b]Vex:[/b] I usually go to the citadel on Venus. There are 2 major minotaurs in the middle upper part, 1 major minotaur on the right side, and multiple major goblins and harpies that can spawn throughout the area. [b]Cabal:[/b] You can do the first mission on mars on any heroic difficulty. When you get through the room to spawn your sparrow, run past the first wave of enemies to where the 2nd ship comes down. It spawns 8 majors from it. Kill them, then die to the mobs from the first ship and repeat. Alternatively you can go to Mars patrol. Head to the left into the area where you spawn for the dust palace strike. Head towards the building on the right side, the one you go up in one of the mars missions to intercept cabal communications. It is guaranteed to have at least one major in the room with the radio thing, and multiple other majors can spawn along the way. I usually just run in a circle, up through the stairs then after I finish I jump out the window and start over. The mobs respawn fast enough to keep an endless cycle until you're done.

Hive go to patrol on earth and look left and to underground and 3 spawn each time. Takes about 3 minutes you just need to go up and kill like 3 people and they respawn

Bump so I can come back?

Fallen: The archive on heroic will net 9 majors. Get killed after you kill Grayliks, start again and get your final kill. There are also plenty of fallen majors when you do a Warsat or Extraction Crews public events on earth or the moon. Hive: The tunnels under the steppes (3 will respawn when you move away far enough or do The Dark Beyond, kill the 3 major accolytes twice and then kill the knight as well on the 3rd run. Vex: Winter's Run strike, 10 or 11 majors in the part before you get on the pikes. Buried City on Mars also works great, there is a major minotaur and harpy that will spawn as soon as you move back far enough. Cabal: Exclusion Zone = 9 majors. Buried City last part nets you 10 majors It all depends on how you can / want to combine the bounties which option you pick.

Fallen: The cliffs on venus that lead to the ketch. one captain always spawns on the upper platform, but it takes a really long time to get all 10. Hive: Sword of Crota on level 11. Go to the gatehouse, then once you've killed the four acolytes and the knight, die and you'll respawn right in the doorway before you killed them. Vex: Like mcdaddy 86 said, go to the citadel. Cabal: The buried city in building 5.

These are all of the fastest methods for each Kill 10 Majors Bounty. Step by step instructions are below. Thank Me Later :3 Cabal - Exclusion Zone on Heroic. Total Time 1:30 Total Majors per Run 9 1) Run past the first dropship 2) Kill the 9 majors that jump out 3) Wipe and repeat for one more kill. Vex - Venus Patrol @ The Citadel. Total Time 2:00 Total Majors per Run 3-5 1) Run to center platform at the entrance to the Terminus 2) Kill the 2 Minotaur Majors 3) Turn to your right jump down to where the small spire is and kill the 3 minotaurs, 1 is a major. 4) Jump back to center platform and wait for minotaurs to respawn, about 10-15 seconds 5) Rinse and Repeat [b][i]OPTIONAL[/i][/b] 6) While waiting, look to the left of the platform at the hobgoblins 1 major tends to spawn there 7) Straight at the other end of the center platform a major harpie or goblin usually spawns Hive - Earth Patrol @ Steppes Total Time 2:00 Total Majors per Run 3 1) Spawn in and look to left a bit 2) Walk down the stairs and hang a right 3) There is a room on the right with 3 Hive majors that spawn 4) Kill them and run back up to the surface 5) Kill the random couple fallen by the entrance and run back down (that usually spaces out the spawn timer enough) 6) Rinse and Repeat Fallen - Archive on Heroic Total Time 3:00 Total Majors per Run 6 1) Spawn in at Grayliks checkpoint that you should already have for his bounty 2) Run to right side of room near first panel to scan and kill enemies as the spawn in. There are 2 majors here. 3) Go back into main room and jump up onto the catwalk and kill those enemies. There is 1 major here. 4) Run down scan first panel, immediately following the scan run to the second panel to scan. No need to kill anyone. 5) After scanning the second panel, run down to where Grayliks spawns, next to the central computer. 6) Kill Grayliks and the two Majors that run out next to him. 7) Jump off the edge to your left and repeat once more for the bounty.

Play any mission w/ a heroic modifier, guaranteed 5-10 each mission