Problem Two: Legos for All
Oct 26th, 2006 by tony
A large toy bag contains 8 yellow Lego pieces, 7 red pieces, and 5 black pieces. Without taking a peek in the bag, Igor takes out N marbles at one. If he is to be sure that he will have 4 Legos of one color and 3 of another left in the bag, what is largest possible value of N?
Update: Solutions are posted!