When McMurphy tries to get the men to agree to watch the World Series, the second vote yields more votes than the first, but why isn't it valid, according to Nurse Ratched?

According to Nurse Ratched, the 20 votes that are garnered are only half of the ward, as there are 20 Chronics as well who wouldn't be able to vote anyways. Even the addition of Chief Broom's vote does not sway her, as she says the vote was already closed.