Investigate the game of chance involving coloured discs.
Starting in the top left corner in a 20 by 20 grid, how many routes are there to the bottom right corner?
How many values of C(n,r), for 1 ≤ n ≤ 100, exceed one-million?
Determine the number of factorial chains that contain exactly sixty non-repeating terms.
Find the sum of all numbers which are equal to the sum of the factorial of their digits.