Suppose that you have gloves of 3 colours in the drawer: black, brown, and white, 4 pairs of each colour. every glove is either left or right and does not fit on the other hand.
if you are taking gloves out in the dark, without looking, what is the minimum number you need to take out to guarantee that you have a pair (that is, a left and a right of the same colour)?
a) what is the minimum number of gloves you need to take out to guarantee that you have three pairs of gloves? (here, colours do not matter, as long as each pair consists of a left and a right of the same colour)
b) what is the minimum number of gloves you need to take out to guarantee that you have a pair of white gloves?
c) what is the minimum number of gloves you need to take out to guarantee that you have two pairs of different colours?
d) what is the minimum number of gloves you need to take out to guarantee that you have two pairs which are both not white (could be same or different colour)?