Page:Carroll (1884).djvu/23

 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

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 ::. This gives us

m = e.$M⁄E$ = e.$660⁄5,000,000$ = $e⁄7,600$

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).