24/6/2012 -- 30/6/2012 (Wk 2)
1. Find the number of triplets (x,y,z) such that x,y,z are non-negative integers, satisfying:
1. Find the number of triplets (x,y,z) such that x,y,z are non-negative integers, satisfying:
2. Given a triangle ABC, points D,E,F are on lines BC,CA,AB respectively such that 3BD=BC,3CE=CA,3AF=AB. Point G is the intersection of the lines AD and BE, point H is the intersection of the lines BE and CF and point I is the intersection of the lines CF and AD. If [ABC]=1, find [GHI].
