I get why the strikes are 3-player. To some extent I even understand why the story missions are too. But why explore mode? Especially when there are public events.
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I read somewhere (sorry I can't find a source) that if you had say, six players, those six players would kill all he enemies in a given area too quickly. Making the game boring. And unfun for you and your friends. Also, if you have a six man team. Someone else has a six man team, 12 people in an area wouldn't be a lot of kills across the board. Hope this helps.