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11

Let M = No. of Members in House = 660.
D = No. of Districts = 180.
e = No. of Electors in a District.
E = total No. of Electors = 5,000,000.
p = population in a District.
P = total population = 36,000,000.
Q = universal quota, to be aimed at.
m = No. of Members assigned to a District.

Then E/M + D = 5,000,000/840 = about 6,000;

m = e/6,000 − 1 (a)

It will be worth while to contrast with this the 'rough and ready' method of assigning Members in proportion to the number of Electors, so that m:e::M:E. This gives us

m = e.M/E = e.660/5,000,000 = e/7,600 (b)

In the following Table, the second column gives the number of Members to be returned by a District, the first the number of Electors by Formula (a), and the third the same by Formula (b).