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?
Excellent job Brian. Youve managed to completely fool the masses of perplexians. I think that your comment though (re:better than 28), may have spoiled the fun!
Btw, I have no idea what the answer is, but with each comment that passed without somebody catching it I got a little more surprised at us (as a group), for to me, it seems that it is MORE likely to work your way (which you are now suggesting).
sweet
