Except it's not that simple in the real world. The make up dates are not arbitrarily assigned.
To start, by major league rules, a postponed game must first be made up in the city where the game was originally scheduled for play if at all possible. If a team still has games left to play in that city, then the game would most likely be added as a second game of a doubleheader. Off days are rarely in common for teams and thus are unlikely to be used for make up games. On top of that, adding in extra travel and travelling costs is something teams frown upon, so playing a 1-game series to make up a game is only used as a very last resort.
If a team has no visits left to the opposing city, then the game is made up in the other team's park. This is how some teams end up playing more than half their games at home. As before, it is normally tacked on to create a doubleheader.
Now, start adding in all the postponements and then trying to factor in which games can be made up in the original park and which have to be made up in the other team's park, and things start getting complicated. Not only that, but make up games are not randomly dropped into the schedule but are usually targetted for weekends where possible to (hopefully) boost attendance a bit. This was especially true in earlier years.
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(c) if end of season arrives and there are still makeup days then teams that missed games because of rainouts will have their eligibility to make the playoffs dependant on their winning percentages, which is how it's basically done anyway.
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This is only partially correct. By major league rules, any postponed game having a bearing on the pennant race is to be replayed, even if such replaying has to take place AFTER the scheduled end of the regular season. The first version of this rule came into effect for the 1951 season.
Prior to that time, all postponed games had to be made up before the scheduled end of the season. If they were not, then they weren't replayed. The result of this was the possibility of a team winning or losing the pennant at the end of the season due to a postponement, which is why the rule was eventually changed.