MathDB

2

Part of 1991 Turkey Team Selection Test

Problems(2)

Turkey TST 1991 - P2

Source:

3/13/2011
Show that the equation a2+b2+c2+d2=a2⋅b2⋅c2⋅d2a^2+b^2+c^2+d^2=a^2\cdot b^2\cdot c^2\cdot d^2 has no solution in positive integers.
number theory proposednumber theory
Turkey TST 1991 - P5

Source:

3/13/2011
pp passengers get on a train with nn wagons. Find the probability of being at least one passenger at each wagon.
probabilitycombinatorics proposedcombinatorics