Question 25
There are 12 blue socks, 14 red socks, 16 green socks, 18 yellow socks and 20 orange socks in a drawer. Socks of the same colour are indistinguishable. A person randomly picks a certain number of socks from the drawer. Find the minimum number of socks that should be taken to ensure that he will have at least two pairs of colour X, at least two pairs of colour Y and at least two pairs of colour Z, for some three distinct colours X, Y, Z.