Sharon has a number of pairs of gloves of identical design, but of several (at least three) different colors. She has at least three pairs of each color. In the dark she can distinguish the handedness of a glove, but not its color. Unfortunately, she keeps the gloves jumbled up in a drawer in an unlit cellar.
Sharon knows that if she takes out 21 gloves, in the dark, she can be sure of getting at least one pair.
What is the maximum number of pairs of gloves that she could have?
(In reply to huh?
If you have 10,000 pairs of red gloves and you draw 20 right handed red gloves from the drawer, the 21st glove you draw (left handed of course) could be one of the other colors.
Posted by Erik
on 2004-06-03 17:00:22