Question 168
There are 2,005 fruit boxes in a room, each of which contains one or more types of fruit, a whole number of each type of fruit.
a) Show that you can always select 669 fruit boxes that together contain at least a third of all apples and at least a third of all pears.
b) Can the boxes in part a) always be chosen so that they also contain at least a third of all peaches?
a) Show that you can always select 669 fruit boxes that together contain at least a third of all apples and at least a third of all pears.
b) Can the boxes in part a) always be chosen so that they also contain at least a third of all peaches?