MathDB

2015 F8 E5

Part of MBMT Team Rounds

Problems(1)

MBMT Team -- Fermat #8/Euler #5

Source:

3/29/2015
Victor has 33 piles of 33 cards each. He draws all of the cards, but cannot draw a card until all the cards above it have been drawn. (For example, for his first card, Victor must draw the top card from one of the 33 piles.) In how many orders can Victor draw the cards?