There are 8 students in an online chess club. Show that some two of them were born on the same day of the week.
Ramesh has an infinite number of red, blue and green socks in his drawer. How many socks does he need to pick from the drawer at random to guarantee he will have at least one pair of socks of one colour?
There are
On a certain planet the time zones can only differ by a multiple of
The bag contains balls of two different colours: black and white. What is the smallest number of balls that need to be taken out of the bag blindly so that among them there are obviously two balls of the same colour?
Tom wants to go see a movie with his girlfriend Katie. Unfortunately the ticket selling service is broken and when you buy a ticket, you receive a ticket to a random movie that is being played that day. There are
In the classroom there are
Is it possible to split
In every group of