#combinatorics

#combinatorics

To calculate the number of different possible lottery tickets in the U.S. Powerball, we turn to combinatorics, specifically the 'n choose k' problem.

In order to achieve an equal probability for all sums from 1 to 12 when rolling two dice, Marie labeled her blank die with three zeros and three sixes.

Extra data should mean generating new combinations efficiently, reusing earlier work without storing previous combinations.