Het aantal zetels per lidstaat in procenten hangt af van het totaal aantal zetels in de Eerste Kamer van Federatia.
Alleen land A heeft meer dan 30% van het totaal aantal inwoners.
Verminder daarom het aantal inwoners van land A tot het nieuwe aantal van 384342351,43 zodat land A nu precies 30% van het totaal aantal inwoners heeft.
Bereken dan het relatieve aantal inwoners van alle afzonderlijke landen (als fractie van het totaal aantal inwoners van Federatia):
Stel we hebben 57 zetels beschikbaar, dan hebben de landen achtereenvolgens recht op dit aantal zetels:
Dit zijn 52 zetels, we houden er nog 5 over.
Omdat ieder land minimaal 1% van de zetels moet hebben, krijgen de laatste 2 er 1 bij:
en dan hebben we nog 3 zetels over.
Die gaan (arbitrair) naar de 3 landen met de grootste fractie achter de komma, maar:
land E (4.83), B (7.58) en H (3.49).
Een soortgelijke berekening kan je maken voor elk aantal beschikbare zetels.
Hier nog een aantal voorbeelden met z zetels (het moeten er minstens 13 zijn):
Code: Selecteer alles
z=13: [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
z=15: [ 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
z=17: [ 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
z=19: [ 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
z=21: [ 6, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
z=23: [ 6, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
z=25: [ 7, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1 ]
z=27: [ 8, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1 ]
z=29: [ 8, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1 ]
z=31: [ 9, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1 ]
z=33: [ 9, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1 ]
z=35: [ 10, 5, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1 ]
z=37: [ 11, 5, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1 ]
z=39: [ 11, 5, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1 ]
z=41: [ 12, 5, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1 ]
z=43: [ 12, 6, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1 ]
z=45: [ 13, 6, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1 ]
z=47: [ 14, 6, 5, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1 ]
z=49: [ 14, 7, 5, 5, 4, 3, 3, 3, 1, 1, 1, 1, 1 ]
z=51: [ 15, 7, 5, 5, 4, 4, 3, 3, 1, 1, 1, 1, 1 ]
z=53: [ 15, 7, 5, 5, 5, 4, 4, 3, 1, 1, 1, 1, 1 ]
z=55: [ 16, 7, 5, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1 ]
z=57: [ 17, 8, 5, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1 ]
z=59: [ 17, 8, 6, 6, 5, 4, 4, 4, 1, 1, 1, 1, 1 ]
z=61: [ 18, 8, 6, 6, 5, 4, 4, 4, 2, 1, 1, 1, 1 ]
z=63: [ 18, 8, 6, 6, 5, 5, 5, 4, 2, 1, 1, 1, 1 ]
z=65: [ 19, 9, 6, 6, 5, 5, 5, 4, 2, 1, 1, 1, 1 ]
z=67: [ 20, 9, 6, 6, 6, 5, 5, 4, 2, 1, 1, 1, 1 ]
z=69: [ 20, 9, 7, 7, 6, 5, 5, 4, 2, 1, 1, 1, 1 ]
z=71: [ 21, 10, 7, 7, 6, 5, 5, 4, 2, 1, 1, 1, 1 ]
z=73: [ 21, 10, 7, 7, 6, 5, 5, 5, 2, 2, 1, 1, 1 ]
z=75: [ 22, 10, 7, 7, 6, 5, 5, 5, 2, 2, 2, 1, 1 ]
z=77: [ 23, 10, 7, 7, 7, 6, 5, 5, 2, 2, 1, 1, 1 ]
z=79: [ 23, 10, 8, 7, 7, 6, 6, 5, 2, 2, 1, 1, 1 ]
z=81: [ 24, 11, 8, 8, 7, 6, 6, 5, 2, 1, 1, 1, 1 ]
z=83: [ 24, 11, 8, 8, 7, 6, 6, 5, 2, 2, 2, 1, 1 ]
z=85: [ 25, 12, 8, 8, 7, 6, 6, 5, 2, 2, 2, 1, 1 ]
z=87: [ 26, 12, 8, 8, 8, 6, 6, 5, 2, 2, 2, 1, 1 ]
z=89: [ 26, 12, 9, 8, 8, 6, 6, 6, 2, 2, 2, 1, 1 ]
z=91: [ 27, 12, 9, 9, 8, 6, 6, 6, 2, 2, 2, 1, 1 ]
z=93: [ 27, 12, 9, 9, 8, 7, 7, 6, 2, 2, 2, 1, 1 ]
z=95: [ 28, 13, 9, 9, 8, 7, 7, 6, 2, 2, 2, 1, 1 ]
z=97: [ 29, 13, 9, 9, 8, 7, 7, 6, 2, 2, 2, 2, 1 ]
z=99: [ 29, 13, 10, 9, 8, 7, 7, 6, 2, 2, 2, 2, 2 ]
z=101: [ 30, 13, 10, 9, 9, 7, 7, 6, 2, 2, 2, 2, 2 ]
z=103: [ 30, 14, 10, 10, 9, 7, 7, 6, 2, 2, 2, 2, 2 ]
z=105: [ 31, 14, 10, 10, 9, 7, 7, 6, 3, 2, 2, 2, 2 ]
z=107: [ 32, 14, 10, 10, 9, 8, 7, 7, 2, 2, 2, 2, 2 ]
z=109: [ 32, 14, 10, 10, 9, 8, 8, 7, 3, 2, 2, 2, 2 ]
z=111: [ 33, 15, 10, 10, 9, 8, 8, 7, 3, 2, 2, 2, 2 ]
z=113: [ 33, 15, 11, 10, 10, 8, 8, 7, 3, 2, 2, 2, 2 ]
z=115: [ 34, 15, 11, 11, 10, 8, 8, 7, 3, 2, 2, 2, 2 ]
z=117: [ 35, 16, 11, 11, 10, 8, 8, 7, 3, 2, 2, 2, 2 ]
z=119: [ 35, 16, 11, 11, 10, 9, 9, 7, 3, 2, 2, 2, 2 ]
z=121: [ 36, 16, 12, 11, 10, 9, 9, 7, 3, 2, 2, 2, 2 ]
z=123: [ 36, 16, 12, 12, 10, 9, 9, 8, 3, 2, 2, 2, 2 ]
z=125: [ 37, 17, 12, 12, 10, 9, 9, 8, 3, 2, 2, 2, 2 ]
z=127: [ 38, 17, 12, 12, 11, 9, 9, 8, 3, 2, 2, 2, 2 ]
z=129: [ 38, 17, 12, 12, 11, 9, 9, 8, 3, 3, 3, 2, 2 ]
z=131: [ 39, 17, 13, 12, 11, 9, 9, 8, 3, 3, 3, 2, 2 ]
z=133: [ 39, 18, 13, 13, 11, 9, 9, 8, 3, 3, 3, 2, 2 ]
z=135: [ 40, 18, 13, 13, 11, 10, 9, 8, 3, 3, 3, 2, 2 ]
z=137: [ 41, 18, 13, 13, 12, 10, 10, 8, 3, 3, 2, 2, 2 ]
z=139: [ 41, 18, 13, 13, 12, 10, 10, 9, 3, 3, 3, 2, 2 ]
z=141: [ 42, 19, 13, 13, 12, 10, 10, 9, 3, 3, 3, 2, 2 ]
z=143: [ 42, 19, 14, 14, 12, 10, 10, 9, 3, 3, 3, 2, 2 ]
z=145: [ 43, 19, 14, 14, 12, 10, 10, 9, 4, 3, 3, 2, 2 ]
z=147: [ 44, 20, 14, 14, 13, 10, 10, 9, 3, 3, 3, 2, 2 ]
z=149: [ 44, 20, 14, 14, 13, 11, 10, 9, 4, 3, 3, 2, 2 ]
z=151: [ 45, 20, 14, 14, 13, 11, 11, 9, 4, 3, 3, 2, 2 ]
Voor elk van deze zetelverdelingen kan je het percentage zetels per lidstaat berekenen.