Question 104
In $n$ transparent boxes there are red balls and blue balls. One needs to choose 50 boxes such that, together, they contain at least half of the red balls and at least half of the blue balls. Is such a choice possible irrespective of the number of balls and on the way they are distributed in the boxes, if:
a) $n = 100$;
b) $n = 99$?
a) $n = 100$;
b) $n = 99$?