You only need 4 votes to have a majority if Sam and Greg were present for the vote, which neither were. Ilya + the 2 stooges voting in favor and D'Angelo voting against would be a 3-1 majority.
I am not an expert, but I don't think that is the way it works. My guess is that the only reason that they could vote without Sam and Greg there is because they had a majority even if they were there. That means they had 4 votes, and that means all other board members voted against Sam and Greg.
It does not seem reasonable that only some members of a board could get together and vote things without others present. This would be chaos.