If you have 12 pigeons and there are only 11 roosts, then at least one roost will be quite cozy.
Details and Assumptions
Given that there are 30 games in the season of 1968, what is the smallest possible number of points that she could have scored in her second best game?
Note: She scored a non-negative integer number of points in each game.
A math contest is made up of 52 multiple choice questions each worth either 0 (if wrong or no answer) or 1 (if right). How many students must write the test to be sure that at least 39 have the same final score?
Note: Monochromatic means that all balls in the group are same in color. The balls in different groups can have the same color. For example, if we had 49 balls of the first color, then we are done.
A Professor tells 3 Jokes in his ethics class each year.How large a set of jokes does the professor need in order never to repeat the exact same triple of jokes over a period of 12 years?