Huntington-Hill Method

Logic Level 2

There are 3 groups A , B , A, B, and C C that need to divide up a board with 5 seats on it. A A has 500 members, B B has 300 members, and C C has 200 members.

If seats are assigned using the Huntington-Hill method , how many seats go to group A A ?


The answer is 3.

Adam Strandberg by Adam Strandberg , 28, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Stella Andrieu
Aug 22, 2017

"If n is greater than the geometric mean, then Q is rounded up;"
should be "If Q is greater than the geometric mean, then Q is rounded up;"

Qa = 5 * 500 / (500 + 300 + 200) = 5 * 0.5 = 2.5
=> n = 2 & geom. mean = sqrt(2*(2+1)) = sqrt(6) = 2.45
=> Qa = 2.5 > 2.45, so Qa is rounded up.

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Saya Suka
May 24, 2021

x = 5 × ( 500 / (500 + 300 + 200) )
= 5 × ( 500 / 1000 )
= 2.5

n = floor[ x ]
= floor[ 2.5 ]
= 2

√(n × (n + 1)) = √(2 × 3) = √6 < 2.5

Number of seats = n + 1 = 3

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...